Kaplan Math

A nurse is to give liquid medicine three times per day. The morning dose is 3/4 ounce, noon dose is 1/2 ounce, and evening dose is 3/4 ounce. The nurse has one ounce of medicine left at noon. How much more medicine will she need?

1 ounce. Explanation: Convert fractions to decimals decimals and add them together which will result in 2. If the nurse already used 1 ounce for morning and evening and the vials come in 1 ounce Vials then she will need one more ounce for the evening dose.

Which of the following equations is true? 1) 1/2 + 3/4 - 1/8= 1 1/8 2) 500÷1500=1/2 3) 0.001 = 10% 4) 53.3 + 30.5 - 22.88= 60.53

1) 1/2+3/4-1/8=1 1/8

A six year old boy with a congenital heart disorder is admitted. Digoxin 0.12mg is ordered. The bottle in stock contains 0.05mg in 1mL of solution. How much should be administered?

2.4mL Explain: Use rule of threes 0.12/0.05mg x 1mL Cross multiply 0.05mg*1mL And 0.12mg*1 Divide the remainding fraction to result in 2.4mL

3/5 is proportional to which amount?

3/5= 0.6*100 = 60%

If x/5+3 =75, then x equals?

A. X=360 Explanation: 1)subtract 3 from both sides of equation to isolate x. 2)Multiply 5 to both sides to isolate x 3) 72*5=360

A syringe contains 16mL of a medication and the nurse was ordered to give 20% less. How much medication should the nurse have in the syringe?

Answer: 128mL Explain: 16mL/xmL = 100%/80% = 12.8mL

1/3-1/8+5/18

Find LCD and solve

3 1/4 divided by 2 7/3

Find LCD. Add whole numbers, inverse second fraction to show 7/3 and multiply. answer: 5 3/28

Express 5/8 as its closest rounded percentage.

0.625 (5 ÷ 8 = 0.625, which equals 62.5% rounding up gives us 63%)

The physician orders codeine 60mg & aspirin x grains. Each codeine contains 15mg of codeine. Each aspirin tablet contains 325mg of aspirin. Which should be given?(round to the nearest whole number)

4mg codeine and 2.5 mg of aspirin Explain: 60mg/15mg x t (tablet) =4 10 grains/4mg x t (tablet)=2.5

32= 24% X

Answer: 133.3 Explain: use rule of threes, set up as equation 32/x=24/100 cross multiply for a result of 133.3

A nurse must infuse 1.5mL of solution in x minutes and she has 650mL of solution how many minutes will it take for the medicine to be given?

Answer: 2 minutes Explain: set up word problem as equation. 1.5mL/650mL = 3 min/x min cross multiply ,to give 144. divide 144 by 60 = 2 minutes

Alex earns $25.50 per hour. He got a raise of $0.25. How much in percent was the increase?

Answer: 3% increase 25.50/0.85 x 100/x Explain: 25.50/0.85 x 100/x, cross multiply 0.85*100 and 25.50*x (1) divide remaining fraction for result of 3% increase

John's salary is $25.38 per hour, he gets a raise of $0.85 what is the percent increase?

Answer: 3.3% Explain: set up problem using rule of threes. $25.38/0.85=100%/x% cross multiply for result of 3.3%

ratio of 4:9 is the same as

Answer: 4/13 or 9/13 Explain: add 4+9= 13, divide 4 or 9 by 13 to give desired answer

If 1/3 of people are elderly men and 2/8 are young women, what percent of people is older women?

Answer: 41% Explain: 1 represents the entire amount of people. set up problem as follows: 1-1/3-2/8 find LCD, 24/24-8/24-6/24=10/24= 0.41x100= 41%

A ratio of 3:4 is the same as

Answer: 42% Explain: add numbers of ration 3+4= 7 chose which number we want to find percentage of 3 or 4 divide 3 or 4 by 7 3/7= 0.42 x 100 = 42%

If a microbiologist cultured 3000 cells at a rate of 7% how many days will it take for 360 new cells to reproduce?

Answer: 5 days Explanation: use rule of threes, set up word problem as an equation. 3000/360 = 1/0.7 cross multiply and simplify fraction.

A child is given an allowance of $1.25 per day for chores. The parents have promised to increase it by $0.75 per day after a month. What is the percent increase?

Answer: 60% Explain: 1.25/0.75=100=x cross multiply. 0.75*100=75 1.25*X or 1= 1.25 Divide 75÷1.25=60%

If 1/4 of a bag equals 4 ounces, how many ounces are in 5 1/2 bags?

Answer: 88 ounces Explain: 1/4oz over 5 1/2oz= 0.25/5.5= 4oz/x = 88 ounces

A nurse must give a medication twice a day The first dose is 3/8 ounce the second dose is 2/7 ounce. She has 1 ounce of medication, will she have enough both doses?

Answer: yes Explain: find LCD and add fractions, since the result is 37/56 and the numerator is less than the denominator, 1 is a whole number which is more than 37/56.

Which of the following equations is true? a) 0.0053 = 53/1000 b) ratio of 2:3 is the same as 23% C) 42 ÷ 0.123=0.341 D) 4/5 ÷ 2/3 =1 2/3

a) 0.0053 = 53/1000