Module 3: Chapter 2: Performing Ratio, Percent, and Proportion Calculations

What is 62% of 150? 41.3 93 58.7 7

93 A percent is a number of parts out of 100 whole parts. Therefore, 62% can be written as 62/100 or 62:100. Then, you can use a ratio or dimensional analysis to solve for x. 62/100 = x/150. 100x = 9,300. 9,300/100 = 93

How many grams of active ingredient does 14 mL of a 1:20 solution contain? 2.8 g 0.7 g 280 g 14 g

0.7 g Unless otherwise specified on the medication label, the first number of the ratio represents the number of grams and the second number represents the number of mL. Set up a ratio or use dimensional analysis to solve for the unknown variable. x g : 14 mL; 1 g : 20 mL; 20(x) = 20x and 14 x 1 = 14; 20 / 14 = 0.7

A 1:1000 solution has been ordered. You have 0.1%, 0.01%, 0.05%, and 0.075% solutions in stock. Which solution should you choose to complete this order? 0.1% 0.01% 0.05% 0.075

0.1% First, rewrite the ratio as a fraction (1/1000). You can either make an equivalent fraction with a denominator of 100 or multiply the fraction by 100 and then divide the fraction's numerator by the denominator. To make an equivalent fraction, divide the numerator and the denominator by 10 to get 0.1/100 which equals 0.1%. Or, when multiplying by 100, you get 100/1000 and 100 / 100= 0.1.

A 1:400 solution has been ordered. You have 0.025%, 0.125%, 0.25%, and 0.5% solutions in stock. Which solution should you choose to complete this order? 0.025% 0.125% 0.25% 0.5%

0.25% First, rewrite the ratio as a fraction (1/400). You can either make an equivalent fraction with a denominator of 100 or multiply the fraction by 100 and then divide the fraction's numerator by the denominator. To make an equivalent fraction, divide the numerator and the denominator by 4 to get 0.25/100 which equals 0.25%. Or, when multiplying by 100, you get 100/400 and 100 / 400= 0.25.

A 1:250 solution has been ordered. You have 0.25%, 0.4%, 0.5%, and 0.75% solutions in stock. Which solution should you chose to complete this order? 0.25% 0.4% 0.5% 0.75%

0.4% First, rewrite the ratio as a fraction (1/250). You can either make an equivalent fraction with a denominator of 100 or multiply the fraction by 100 and then divide the fraction's numerator by the denominator. To make an equivalent fraction, divide the numerator and the denominator by 2.5 to get 0.4/100 which equals 0.4%. Or, when multiplying by 100, you get 100/250 and 100 / 250= 0.4.

What is 481 mg converted to grams using the conversion factor 1 g = 1000 mg? 4.81 g 0.481 g 0.519 g 4,810 g

0.481 g Use a ratio or dimensional analysis to set up an equation and solve for x. Either 1 g : 1,000 mg:: x g : 481 mg or 1 g /1,000 mg = x g/481 mg. 481 x 1 = 481 and 1,000 x X = 1,000x. 481 / 1,000 = 0.481

A prescriber ordered a dose of 20 mg of Nexium. This medication is available as a 40 mg/mL solution. How many milliliters should be prepared to administer the proper dose? 5 mL 2 ml 1 ml 0.5 ml

0.5 ml Use a ratio or dimensional analysis to set up an equation and solve for x. Either 40 mg : 1 mL :: 20 mg : x mL or 40mg /mL = 20 mg/x mL. 20 x 1 = 20 and 40 x X = 40x. 20 / 40 = 0.5

A 1:200 solution has been ordered. You have 0.25%, 0.5%, 0.75%, and 1% solutions in stock. Which solution should you chose to complete this order? 0.25% 0.5% 0.75% 1%

0.5% First, rewrite the ratio as a fraction (1/200). You can either make an equivalent fraction with a denominator of 100 or multiply the fraction by 100 and then divide the fraction's numerator by the denominator. To make an equivalent fraction, divide the numerator and the denominator by 2 to get 0.5 / 100 which equals 0.5%. Or, when multiplying by 100, you get 100 / 200 which is 0.5

The manufacturer's label states that 600 g of powder is in a container. When you weigh it you find that there is 593 g of powder in the container. What is the percentage of error? 2.1% 1.2% 2.4% 3.8%

1.2% First find the difference between the actual and expected weight in milligrams. 600 g - 593 g = 7 g. Next, find what percent of 600 is 7 by setting up and equation and solving for x. 7/600 = x/100. 7 x 100 = 700 and 600 x X = 600x. 700 / 600 = 1.2

A 1:80 solution has been ordered. You have 0.0125%, 0.125%, 1.25%, and 12.5% solutions in stock. Which solution should you choose to complete this order? 0.0125% 0.125% 1.25% 12.5%

1.25% First, rewrite the ratio as a fraction (1/80). You can either make an equivalent fraction with a denominator of 100 or multiply the fraction by 100 and then divide the fraction's numerator by the denominator. To make an equivalent fraction, multiply the numerator and the denominator by 1.25 to get 1.25/100 which equals 1.25%. Or, when multiplying by 100 you get 100/80 and 100 / 80 = 1.25.

What is 1329 mg converted to grams using the conversion factor 1 g = 1000 mg? 1329 g 132.9 g 13.29 g 1.329 g

1.329 g Use a ratio or dimensional analysis to set up an equation and solve for x. Either 1 g : 1000 mg:: x g: 1329 mg or 1 g/1000mg = x g/1329mg. 1329 x 1 = 1329 and 1000 x X = 1000x. 1329 / 1000 = 1.329

A metformin tablet contains 738 mg of the active ingredient. The label states that each tablet contains 750 mg. What is the percentage of error? 1.6% 2.8% 6.1% 5.8%

1.6% First find the difference between the actual and expected weight in milligrams. 750 mg - 738 mg = 12 mg. Next, find what percent of 750 is 12 by setting up an equation and solving for x. 12/750 = x/100. 12 x 100 = 1200 and 750 x X = 750x. 1200 / 750 = 1.6

A metformin tablet contains 836 mg of the active ingredient. The label states that each tablet contains 850 mg. What is the percentage of error? 1.6% 98.4% 101.7% 10.2%

1.6% First find the difference between the actual and expected weight in milligrams. 850 mg - 836 mg = 14 mg. Next, find what percent of 850 is 14 by setting up an equation and solving for x. 14/850 = x/100. 14 x 100 = 1,400 and 850 x X = 850x. 1,400 / 850 = 1.6

What is 4:20 when expressed as a fraction and reduced to its simplest form? 5/1 2/10 1/5 4/20

1/5 A ratio can represent the relationship of parts to a whole. The first number is the number of parts and the second number is how many parts make up a whole. Therefore, the first number in this case 4, becomes the numerator and represents the number of parts of the denominator, which is 20. The fraction 4/20 can be reduced to 1/5.

What is 3:18 expressed as a fraction and reduced to its simplest terms? 3/18 6/1 1/6 3/6

1/6 A ratio can represent the relationship of parts to a whole. The first number is the number of parts and the second number is how many parts make up a whole. Therefore, the first number, in this case 3, becomes the numerator and represents the number of parts of the denominator, which is 8. The fraction 3/18 can be reduced to 1/6.

A prescriber ordered 100 mg of doxycycline. The medication is available as a 20 mg/2 mL solution. How many milliliters must be prepared to administer the proper dose? 8 mL 15 mL 5 mL 10 mL

10 mL Use a ratio or dimensional analysis to set up an equation and solve for x. Either 20 mg : 2 mL :: 100 mg : x mL or 20mg /2 mL = 100 mg/x mL. 2 x 100 = 200 and 20 x X = 20x. 200 / 20 = 10

What is 51% of 214? 205.6 419.6 104.9 109.1

109.1 A percent is a number of parts out of 100 whole parts. Therefore, 51% can be written as 51/100 or 51:100. Then, you can use a ratio or dimensional analysis to solve for x. 51/100 = x/214. 51 x 214 = 10,914 and 100(x) = 100x. 10,914 / 100 = 109.1.

How many grams of active ingredient does 100 mL of a 12:100 solution contain? 0.12 g 1.2 g 120 g 12 g

12 g Unless otherwise specified on the medication label, the first number of the ratio represents the number of grams and the second number represents the number of mL. Therefore, a 12:100 solution contains 12 g of active ingredient per 100 mL.

What is 1/8 expressed as a percent and rounded to the nearest tenths place? 0.125% 8% 12.5% 800%

12.5% A percent is a number out of 100 parts and it can be written as the percent number over 100. You can either convert 1/8 to a fraction with a denominator of 100, or you can divide the numerator by the denominator then multiply by 100. Therefore, 1 / 8 = 0.125. Then 0.125 x 100 = 12.5%.

What is 63.2 kg converted to pounds using the conversion factor 1 kg = 2.2 lbs 139.04 lbs 28.7 lbs 75.8 lbs 112.4 lbs

139.04 lbs Use a ratio or dimensional analysis to set up an equation and solve for x. Either 1 kg : 2.2 lb :: x kg : 63.2 kg : x lbs or 1 kg/ 2.2 lbs = 63.2 kg/x lb. 1 x X = 1x and 63.2 x 2.2 = 139.04. 139.04 / 1 = 139.04 lbs

What is 72% converted to a fraction and reduced to its simplest terms? 72/100 18/25 36/50 18/50

18/25 A percent is a number of parts out of 100 whole parts. Therefore, 72% can be written as 72/100 then reduced to simplest terms by dividing the numerator and denominator by 4.

What is 9/27 reduced to its simplest terms and expressed as a ratio? 1:3 3:1 9:27 3:9

1:3 A fraction represents the relationship of parts to a whole. The numerator represents the number of parts and the denominator is how many parts make up a whole. The fraction 9/27 can be reduced to 1/3. Therefore, the numerator (1) becomes the first number in the ratio and represents the number of parts. The denominator (3) becomes the second number and represents the number of parts that make up the whole.

How many grams of active ingredient does 100 mL of a 20:1,000 solution contain? 2 g 20 g 200 g 2000 g

2 g Unless otherwise noted on the medication label, the first number of the ratio represents the number of grams and the second number represents the number of milliliters. Set up a ratio, or use dimensional analysis, to solve for the unknown variable. x g : 100 mL :: 20 : 1000. X x 1000 = 1000x and 100 x 20 = 2,000. 2,000 / 1000 = 2.

What is 2.8 g converted to milligrams using the conversion factor 1 g = 1,000 mg? 28 mg 280 mg 2,800 mg 28,000 mg

2,800 mg Use a ratio or dimensional analysis to set up an equation and solve for x. Either 1 g : 1,000 mg :: 2.8 g : x mg or 1 g/1,000 mg = 2.8 g x mg. X x 1 = 1x and 2.8 x 1,000 = 2,800. 2,800 / 1 = 2,800

How many grams of active ingredient does 50 mL of a 5:100 solution contain? 2.5 g 25 g 250 g 2500 g

2.5 g Unless otherwise specified on the medication label, the first number of the ratio represents the number of grams and the second number represents the number of mL. Set up a ratio or use dimensional analysis, to solve for the unknown variable. x g : 50mL :: 5 g : 100 mL. x(1000) = 100x and 50 x 5 = 250. 250 / 100 = 2.5

A 1:40 solution has been ordered. You have 0.25%, 0.5%, 2.5%, and 4% solutions in stock. Which solution should you choose to complete this order? 0.25% 0.5% 2.5% 4%

2.5% First, rewrite the ratio as a fraction (1/40). You can either make an equivalent fraction with a denominator of 100 or multiply the fraction by 100 and then divide the fraction's numerator by the denominator. To make an equivalent fraction, multiply the numerator and the denominator by 2.5 to et 2.5 / 100 which equals 2.5%. Or, when multiplying by 100, you get 100 / 40 which is 2.5

What is the percentage of error if the patient is supposed to receive 7500 units of heparin, but instead receives 7700 units? 2.7% 3.3% 2.4% 1.8%

2.7% First, find the difference between the actual and expected number of units. 7700 units - 7500 units = 200 units. Next, find what percent of 7500 is 200 by setting up and equation and solving for x. 200 x 100 = 20,000 and 7500 x. X = 7500x. 20,000 / 7500 = 2.7

What is 16:40 expressed as a fraction and reduced to its simplest terms: 16/40 8/20 4/10 2/5

2/5 A ratio can represent the relationship of parts to a whole. The first number is the number of parts and the second number is how many parts make up a whole. Therefore, the first number, in this case 16, becomes the numerator and represents the number of parts of the denominator, whish is 40. The fraction 16/40 can be reduced to 2/5.

What is 12% of 167? 21 22.1 20 19

20 A percent is a number out of 100 whole parts. Therefore, 12% can be written as 12/100 or 12:100. Then, you can use a ratio or dimensional analysis to solve for x. 12/100 = x/167. 12 x 167 = 2,004 and 100 x X = 100x. 2,004 / 100 = 20.04 which rounds to 20.

What is the value of x in the equation 32/8 = x/5? 20 80 1.25 0.8

20 Cross multiply to find the value of x. 32 x 5 = 160 and 8 x X = 8x. Divide by 8 on both sides of the equation. 160/8=20

Amoxicillin is available as a concentration of 250 mg/5 mL. How many mL. would be needed to prepare a dose of 1,000 mg? 4 mL 20 mL 10 mL 30 mL

20 mL Use a ratio or dimensional analysis to set up an equation and solve for x. Either 250 mg : 5 mL :: 1000 mg : x mL or 250 mg/5 mL = 1000 mg/x mL. 1000 x 5 = 5000 and 250 x X = 250x. 5000 / 250 = 20.

Amoxicillin is available as a concertation of 125mg/5 ml. How many milliliters would be needed to prepare a dose of 500 mg? 5 ml 20 mL 50 mL 100 mL

20 mL Use a ratio to set up an equation and solve for x. 125 mg/5 mL = 500 mg/x mL. 500 x 5 = 2500 and 125 x X = 125x. 2500 /125 = 20.

What is the percentage of error if the patient is supposed to inject 25 units of insulin, but instead injects 30 units? 80% 16.7% 20% 92.5%

20% First, find the difference between the actual and expected number of units. 30 units - 25 units = 5 units. Next, find what percent of 25 is 5 by setting up an equation and solving for x. 5 x 100 = 500 and 25 x X = 25x. 500 / 25 = 20

You are to fill a capsule with 20 mg of active ingredient. You are allowed a 2.2% of error. What is the maximum amount allowed in your final product? 31 mg 19.56 mg 20 mg 20.44 mg

20.44 mg First, determine what number is 2.2% of 20 by setting up an equation and solving for x. x/20 = 2.2/100. 20 x 2.2 = 44 and 100 x X = 100x. 44 / 100 = 0.44. Next, add the allowed percent of error (0.44 mg) to the target amount of product (20mg). 20 mg + 0.44 mg = 20.44 mg

Express 42 as a percent of 200. 21% 79% 84% 16%

21% Rewrite the equation as a fraction then solve for the value of x over 100 to find the percent. 42 x 100 = 4,200 and 200 x X = 200x. 4,200 / 200 = 21

What is 18% of 120? 21.6 78.4 667 216

21.6 A percent is a number of parts out of 100 whole parts. Therefore, 18% can be written as 18/100 or 18:100. Then, you can use a ratio or dimensional analysis to solve for x. 18/100 = x/120. 120 x 18 = 2,160 and 100(x) = 100x. 2,160 / 100 = 21.6.

What is 42/100 reduced to its simplest terms and expressed as a ratio? 42:100 21:50 100:42 50:21

21:50 A fraction represents the relationship of parts to a whole. The numerator represents the number of parts and the denominator is how many parts make up a whole. The fraction 42/100 can be reduced to 121/50. Therefore, the numerator (21) becomes the first number in the ratio and represents the number of parts. The denominator (50) becomes the second number and represents the number of parts that make up the whole.

28 is what percent of 120? 15% 150% 23.3% 76.7%

23.3% Rewrite the equation as a fraction and then solve for the value of x over 100 to find the percent. 28/120 = x/100. 120 x X = 120x and 28 x 100 = 2800. 2800 / 120 = 23.3

Express 70 as a percent of 300. 210% 76.7% 33.5% 23.3%

23.3% Rewrite the equation as a fraction and then solve for the value of x over 100 to find the percent. 70/300 = x/100. 300 x X = 300x and 70 x 100=7,000. 7,000 / 300 = 23.3

What is 74% of 320? 178.1 432.4 83.2 236.8

236.8 A percent is a number of parts out of 100 whole parts. Therefore, 74% can be written as 74/100 or 74:100. Then, you can use a ratio or dimensional analysis to solve for x. 74/100 = x/320. 320 x 74 = 23,680 and 100(x) = 100x. 23,680 / 100 = 236.8.

110 is what percent of 300? 36.7% 63.3% 51.8% 49.7%

36.7% Rewrite the equation as a fraction and then solve for the value of x over 100 to find the percent. 110/300 = x/100. 300 x X = 300x and 110 x 100 = 11,000. 11,000 / 300 = 36.7

How many milliliters of a 100:10,000 solution would you need to obtain 36 g of active ingredient? 3,600 mL 36,000 mL 360 mL 36 mL

3,600 mL Unless otherwise specified on the medication label, the first number of the ratio represents the number of grams and the second number represents the number of mL. Set up a ratio or use dimensional analysis to solve for the unknown variable. 100 g : 10,000 mL; 36 g : x mL; 100(x) = 100x and 10,000 x 36 = 360,000; 360,000 / 100 = 3,600

An amoxicillin capsule contains 518 mg of the active ingredient. The label states that each capsule contains 500 mg. What is the percentage of error. 9.4% 2.5% 3.6% 6.3%

3.6% First, find the difference between the actual and expected weight in milligrams. 518 mg - 500 mg = 18 mg. Next, find what percent of 500 is 18 by setting up an equation and solving for x. 18/500 = x/100. 18 x 100 =1800 and 500 x X = 500x. 1800 / 500 = 3.6

What is 3:4 expressed as a fraction and reduced to its simplest terms? 12/1 4/3 3/4 1/12

3/4 A ratio can represent the relationship of parts to a whole. The first number is the number of parts and the second number is how many parts make up a whole. Therefore, the first number, in this case 3, becomes the numerator and represents the number of parts of the denominator, which is 4. The fraction is in its simplest terms.

What is 17:50 expressed as a percent and rounded to the nearest tenths place? 34% 0.34% 2.9% 294%

34% First, convert the ratio to a fraction. Then either convert the fraction to an equivalent with a denominator of 100 or divide the numerator by the denominator and multiply by 100. Therefore, 17:50 becomes 17/50. Then 17 / 50 = 0.34. Finally, 0.34 x 100 = 34%.

What is the value of x in the equation x/5 = 8/10? 4 6.25 10 2

4 Cross multiply to find the value of x. 5 x 8 = 40 and 10 x X = 10x. Divide by 10 on both sides of the equation. 40 / 10 = 4.

How many milliliters of a 100:1,000 solution would you need to obtain 40 g of active ingredient? 0.4 mL 4 mL 40 mL 400 mL

400 mL Unless otherwise noted on the medication label, the first number of the ratio represents the number of grams and the second number represents the number of milliliters. Set up a ratio, or use dimensional analysis, to solve for the unknown variable. 100 g : 1000 mL :: 40 : x. X x 100 = 100x and 1000 x 40 = 40,000. 40,000 / 100 = 400.

What is 25% of 170? 57.5 42.5 680 510

42.5 A percent is a number of parts out of 100 whole parts. Therefore, 25% can be written as 25/100 or 25:100. Then, you can use a ratio or dimensional analysis to solve for x. 25/100 = x/170. 25 x 170 = 4,250 and 100 (x) = 100x. 4,250 / 100 = 42.5.

You are to fill a capsule with 45 mg of active ingredient. You are allowed a 1.5% of error. What is the maximum amount allowed in your final product? 43.219 mg 45.675 mg 44.325 mg 45 mg

45.675 mg First, determine what number is 1.5% of 45 by setting up an equation and solving for x. x/45 = 1.5/100. 45 x 1.5 = 67.5 and 100 x X = 100x. 67.5 / 100 = 0.675. Next, add the allowed percent of error (0.675 mg) to the target amount of product (45mg). 45 mg + 0.675 mg = 45.675 mg

What i s 4/7 expressed as a ratio? 28:1 1:28 7:4 4:7

4:7 A fraction represents the relationship of parts to a whole. The numerator represents the number of parts and the denominator is how many parts make up a whole. Therefore, the numerator (3) becomes the first number in the ratio and represents the number of parts. The denominator (7) becomes the second number and represents the number of parts that make up the whole. The fraction is in its simplest terms.

How many milliliters of a 1:20 solution would you need to obtain 0.25 g of active ingredient? 0.0125mL 0.25 mL 0.5 mL 5 mL

5 mL Unless otherwise specified on the medication label, the first number of the ratio represents the number of grams and the second number represents the number of mL. Set up a ratio or use dimensional analysis to solve for the unknown variable. 1 g : 20 mL; 0.25 g : x mL; x(1) = 1x and 20 x 0.25 = 5; 5 / 1 = 5

A prescriber ordered a dose of 50 mg prednisone. The medication is available as a 20 mg / 2 mL solution. How many milliliters must be prepared to administer the proper dose? 5 ml 50 mL 250 mL 500 mL

5 mL Use a ratio or dimensional analysis to set up an equation and solve for x. Either 20 mg : 2 mL :: 50 mg : x mL or 20 mg /2 mL = 50 mg / x mL. 50 x 2 = 100 and 20 x X = 20X. 100 / 20 = 5

You are to prepare an 6 fl. oz. bottle of sterile eye wash with a 10% percentage of error allowed. What is the minimum amount of sterile eye wash allowed in your final preparation? 4 fl oz 5 fl oz 5.4 fl oz 6 fl oz

5.4 fl oz First, determine what number is 10% of 6 by setting up an equation and solving for x. x/6 = 10/100. 6 x 10 = 60 and 100 x X = 100x. 60 / 100 = 0.6 fl oz. Next, subtract the allowed percent of error (0.6 fl oz) from the target amount of product (6 fl oz). 6 fl oz - 0.6 fl oz = 5.4 fl oz

What is 5:8 expressed as a fraction and reduced to its simplest terms? 5/8 8/5 1 3/5 1 5/8

5/8 A ratio can represent the relationship of parts to a whole. The first number is the number of parts and the second number is how many parts make up a whole. Therefore, the first number, in this case 5, becomes the numerator and represents the number of parts of the denominator, which is 8. The fraction is in its simplest terms.

32% of what number is 160? 51.2 500 53.3 512

500 Rewrite the equation as a fraction then solve for the value of x. 32% can be written as 32/100. Therefore, 160/x = 32/100. 160 x 100 = 16,000 and 32 x X = 32x. 16,000 / 32 = 500

What is 5.21 converted to milligrams using the conversion factor 1 g = 1000mg? 5.21 mg 52.1 mg 521 mg 5210 mg

5210 mg Use a ratio or dimensional analysis to set up an equation and solve for x. Either 1 g : 1000 mg:: 5.21 g : x mg or 1 g / 1000 mg = 5.21 g / x mg. X x 1 = 1x and 5.21 x 1000 = 5210. 5210 / 1 = 5210

What is 15/18 reduced to its simplest terms and expressed as a ratio? 6:5 5:6 3;4 4:3

5:6 A fraction represents the relationship of parts to a whole. The numerator represents the number of parts and the denominator is how many parts make up a whole. Therefore, the numerator (15) becomes the first number in the ratio and represents the number of parts. The denominator (18) becomes the second number and represents the number of parts that make up the whole. The fraction can be reduced by dividing the numerator and denominator by 3.

What is 5/8 expressed as a percent and rounded to the nearest tenths place? 160% 1.6% 0.625% 62.5%

62.5% A percent is a number out of 100 whole parts and it can be written as the percent number over 100. You can either convert 5/8 to a fraction with a denominator of 100, or you an divide the numerator by the denominator then multiply by 100. Therefore, 5 / 8 = 0.625. Then, 0.625 x 100 = 62.5%

60% of what number is 38? 63.3 36.7 157.9 41.2

63.3 Rewrite the equation as a fraction and then solve for the value of x. 60% can be written as 60/100. Therefore, 38/x = 60/100. 38 x 100 = 3800 and 60 x X = 60x. 3800 / 60 = 63.3

The manufacturer's label states that 500 mg of powder is in a container. When you weigh it, you find that there are 535 mg of powder in the container. What is the percentage of error? 0.07% 0.93% 1.1% 7%

7% First, find the difference between the actual and expected weight in milligrams. 535 mg - 500 mg = 35 mg. Next, find what percent of 500 is 35 by setting up an equation and solving for x. 35/500 = x/100. 35 x 100 = 3,500 and 500 x X = 500x. 3,500 / 500 = 7

What is the percentage of error if the patient is supposed to received 42 units of insulin, but instead receives 45 units? 7.1% 6.7% 5.2% 9.4%

7.1% First, find the difference between the actual and expected number of units. 45 units - 42 units = 3 units. Next, find what percent of 42 is 3 by setting up an equation and solving for x. 3 x 100 = 300 and 42 x X = 42x. 300 / 42 = 7.1

You are to prepare an 8 fl. oz. bottle of sterile eye wash with a 10% percentage of error allowed. What is the minimum amount of sterile eye wash allowed in your final preparation? 7.9 fl oz 8 fl oz 7.2 fl oz 8.8 fl oz

7.2 fl oz First, determine what number is 10% of 8 by setting up an equation and solving for x. x/8 = 10/100. 8 x 10 = 80 and 100 x X = 100x. 80 / 100 = 0.8 fl oz. Next, subtract the allowed percent of error (0.8 fl oz) from the target amount of product (8 fl oz). 8 fl oz - 0.8 fl oz = 7.2 fl oz

What is 157 lb converted to kilograms using the conversion factor 1 kg = 2.2 lb? 71.4 kg 354.4 kg 85.6 kg 197.4 kg

71.4 kg Use a ratio or dimensional analysis to set up an equation and solve for x. Either 1 kg : 2.2 lb:: x kg : 157 lb or 1 kg / 2.2 lb = x kg / 157 lb. 2.2 x X = 2.2x and 157 x 1 = 157. 157 / 2.2 = 71.4

What is the value of x in the equation 12/5 = x/32? 21.28 49.57 13.3 76.8

76.8 Cross multiply to find the value of x. 12 x 32 = 384 and 5 x X = 5x. Divide by 5 on both sides of the equation. 384 / 5 = 76.8

A prescriber ordered 40 mg of prednisone. The medication is available as a 5 mg/mL solution. How many milliliters must be prepared to administer the proper dose? 5 ml 4 mL 8 mL 10 mL

8 mL Use a ratio or dimensional analysis to set up an equation and solve for x. Either 5 mg : 1mL :: 40 mg : x mL or 5 mg/mL = 40 mg / x mL. 40 x 1 = 40 and 5 x X = 5x. 40 / 5 = 8.

What is 1:12 expressed as a percent and rounded to the nearest tenths place? 8.3% 12% 0.12% 91.7%

8.3% First convert the ratio to a fraction. Then either convert the fraction to an equivalent with a denominator of 100 or divide the numerator by the denominator and multiply by 100. Therefore, 1:12 becomes 1/12. Then 1 / 12 = 0.083. Finally, 0.083 x 100 = 8.3%

What is 4:5 expressed as a percent and rounded to the nearest tenths place? 80% 0.8% 1.25% 125%

80% First, convert the ratio to a fraction. Then either convert the fraction to an equivalent with a denominator of 100 or divide the numerator by the denominator and multiply by 100. Therefore, 4:5 becomes 4/5. Then 4 /5 = 0.8. Finally, 0.8 x 100 = 80%

What is 185 lb converted to kilograms using the conversion factor 1 kg = 2.2 lbs? 64.8 kg 407 kg 84.1 kg 100.9 kg

84.1 kg Use a ratio or dimensional analysis to set up an equation and solve for x. Either 1 kg : 2.2 lb :: x kg : 185 lbs or 1 kg / 2.2 lb = x kg / 185 lb. 2.2 x X = 2.2x and 185 x 1 = 185. 185 / 2.2 = 84.1

What is 9:17 expressed as a fraction and reduced to its simplest terms? 17/9 9/17 153/1 1/153

9/17 A ratio can represent the relationship of parts to a whole. The first number is the number of parts and the second number is how many parts make up a whole. Therefore, the first number, in this case 9, becomes the numerator and represents the number of parts of the denominator, which is 17. The fraction is in its simplest terms.

What is 36% converted to a fraction and reduced to its simplest terms? 18/50 36/100 9/25 25/9

9/25 A percent is a number out of 100 whole parts. Therefore, 36% can be written as 36/100 then reduced to simplest terms by dividing the numerator and the denominator by 4.