Fractions and Ratio

Sabrina finds a coat on sale for 18% off the original price of $85. She computes her potential savings in the following way: 85 x 0.18 Which of the following methods could Sabrina also use to correctly determine the potential savings?

$85 X 18/100

what is 30 % off of 43?

(43 X30)/100= 12.9 43-12.90= 30.10 Answer: $30.10

1,300 people came in to a local coffee shop last week. The number of people who came into the coffee shop this week increased by 12% from last week. How many people came into the coffee shop this week?

1,300 X 0.12= 156 1,300+ 156= 1,456 Answer: 1,456

A gas pump can pump a quarter gallon of gas every five seconds. If a person is filling up an empty gas tank that can hold 18 gallons of gas, how long will it take the gas pump to fill the empty gas tank?

1/4 X 5= 20 secs 18 X 20= 360 360/60 = 6 Answer: 6 mins

One pizza has 1/4 and another has 1/8. How much larger is one from the other?

1/4-1/8 2/8-1/8= 1/8 Answer: is 1/8 larger

Mr. Clark adjusted rate from $24.00/hr to $27.60/hr. What percentage does this represent?

27.60-24.00= 3.60 3.6 = x 24 100

There 378 students and 18 teachers. What is ratio? The school added a teacher. What is ratio?

18:378----> 1:21 19: 378-----> 1 : 19.89 (approx 20)

What 6% as a fraction?

6/100= 3/50 Answer: 3/50

Each dozen cookies requires 2 cups of flour and 0.75 lbs of butter. How many cookies can she make with 6 cups of flour and 3 lbs of butter?

She can make 36 cookies. 6/2 = 3 dozen cookies to be made.

What % of 58 is 12?

x = 12 100 58

Store has 12 rolls for $4.80 and 20 rolls for $7.00 Which is better deal?

12 : 4.08--> 1:0.4 = $0.40 20 : 7---> 1: 0.35 = $0.35 Answer: 20 rolls for $7.00

85 is 120% of what #?

120 = 85 100 x

Last week, a round-trip plane ticket from New York City to Chicago cost $118. Today, the same ticket costs $130. What is the percent change of the ticket price from last week to today?

130-118= 12 12 = x 118 100 Answer: 10% increase

In Anytown ISD, 13 out of every 20 students ride the bus. Which ratio compares the number of students who ride the bus to those who do not?

13:7

Blonde hair to Brown hair is 2: 5 What is blonde Percentage?

2+5= 7 2/7= 28.5% Answer: 28.5%

Which of the following is NOT a decomposed version of 2 3/8?

2/8 + 3/8

25% of 72 is what #?

25 = x 100 72

Julie took 3/4 of an hr to run 3 1/2 miles. What is avg speed per mile?

3 1/2= 7/2 7/2 divided by 3/4 Find answer: 14/3 = 4 3/4

Ratio for G to B is 4:3. There are 28 students, how many girls?

3 G = x G 7 Students 28 students 28 X 3 / 7= 12 girls Answer: 12 girls

Daniela write 4 pgs in 3 hrs. Essay needs to be 20 pgs, how many hours will she spend?

4 = 20 3 X Answer: 15 hrs

which is greater 4/5 or 0.7?

4/5= 0.8 Answer: 0.8 > 0.7

A sweater is on sale for $43.75. It is 30% off the original price. What is the original price?

43.75/x = 7/10. Answer: $62.50 Cross multiply so you have 43.75 * 10 = 7x. Divide both sides by 7 to isolate x. So, 437.5/7 = $62.50.

Man is 5'8". his shadow is 4'3". Boy's shadow is 3'6". How tall is the boy?

5'8"---> 8/12= 0.66 4'3"----> 3/12= 4.25 3'6"----> 6/12 = 3.5 5.66 X 3.5 / 4.25= 4.66 0.66 x 12= 7.9----> 8 Answer: 4 ft 8 in

An electronics store is offering a 20% discount on a pair of noise-cancelling headphones that normally cost $169.79. What is the price of the headphones, before tax, after the discount is applied?

Answer: $135.83 20/100= 0.2 20% = 0.2 and (0.2)(169.79) = 33.96. 169.79 - 33.96 = 135.83.

Which of the following points on a number line is the greatest distance from .5?

Answer: -1.5 -1.5 is 2 units away from .5 on the number line.

There is a 15% increase in tuition at the local university for next fall. If the current tuition is $3,500 per semester, which equation could be used to find x, the new tuition for the fall?

Answer: 1.15 • 3500 = x 100% + 15% =>> 1 + 0.15 = 1.15. So, 1.15 • 3500 = ×

Students are plotting improper fractions on a number line. Quincy places a fraction between the 5 and the 6 on the line. If the denominator is 3, which of the following could be the numerator?

Answer: 17

A pancake recipe requires 1 tablespoon of baking powder per 2 cups of flour. If 2 cups of flour make 4 pancakes, how many tablespoons of baking powder are needed to make 12 pancakes?

Answer: 3 Tablespoons 4 X 3= 12 1 tablespoon X 3= 3 tablespoons

Tom wants to mentally calculate a 20% tip on his bill of $40. Which of the following is best for Tom to use in the mental calculation of the tip?

Answer: 40 × .1 × 2 find 10% of 40 and then double it. 10% of 40 is 4 and 4 × 2 is 8.

A runner is running a 10k race. The runner completes 30% of the race in 20 minutes. If the runner continues at the same pace, what will her final time be?

Answer: 67 minutes 30/100= 0.3 20/0.3= 66.666666= 67 mins

Marsha asked all 72 children at recess and only ⅙ said that their favorite ice cream flavor was strawberry. Which of the following expression can be used to determine the number of children who told her strawberry was their favorite?

Answer: 72 × 0.166 1/6= 0.166