Ratios and Rates
There are 32 boys and 48 girls in the club. What is the ratio of girls to boys, in lowest terms?
3:2
n/4 = 9/10
n = 3.6
In one game, a quarterback completed 14 of 25 passes. What percent of passes were completed?
56%
Your school raised 125% of its fundraising goal. The school raised $6750. What was the goal?
$5400
You mix 1/2 cup of yellow paint for every 3/4 cup of blue paint to make green paint. How much yellow and blue paint do you need for 15 cups of green paint?
6 cups yellow, 9 cups blue
What is the ratio of 14 inches to 2 feet?
7:12
(n+5)/2 = (n-6)/3
n = -27
What are the fraction and decimal equivalents to 124%
1 6/25
1.24
Luke and Kenji shared some money in the ratio 7:5. The money totaled $132.
If Kenji earned $15 more, what is the new ratio of Luke's money to Kenji's money?
11:10
7x + 5x = 132
x = 11
They started with $77 and $55 each. New ratio is
77/(15+55) = 11/10
The library ordered 56 new books. 87.5% of the books are non-fiction. How many of the books are non-fiction?
49 books are non-fiction.
The cost of 12 cookies is $15. What is the unit rate per cookie?
$1.25
Five cans of paint will cover 130 square meters of wall space. How many cans will be needed to cover 208 square meters?
n = 8
What are the percent and decimal equivalents to
7/16
43.75%
0.4375
A pair of shoes was priced at $85.00 originally. The shoes are on sale for 20% off. What is the sale price?
$68.00
What is 25% of
4/5 ?
1/5
Which is the faster rate - 35 miles in 6 hours or 29 miles in 5 hours?
35 miles / 6 hours = 5.83 mph
29 miles / 5 hours = 5.8 mph
At the Patriot store, 8 pencils cost $1.20. How much will 11 pencils cost?
$1.65
Find the exact fraction equivalent to
26 2/3 %
80/3 div 100 = 80/3 * 1/100 = 4/15
A sweater than originally sold for $100 was discounted 20% in February. At the end of March, it was discounted another 10%. What was the price at the end of March?
$72.00
The sales tax on a surfboard that costs $240 is $12. What is the percent tax?
5%
At 1PM, you have 24 MB (Megabytes) of a movie downloaded. At 1:15 PM, you have 96 MB. What is the download rate in MB/minute?
4.8 MB/minute
If (a-b)/b = 3/7, which of the following must be true?
(a) a/b = -4/7, (b) a/b = 10/7, (c)(a+b)/b = 10/7, OR (d) (a-2b)/b = -11/7
b)
a/b = 10/7
Two questions to answer:
1) If the capacity on a computer is 149 GB, and there is 133 GB of free space, what is the percent of free space?
2) Order the numbers from least to greatest:
2/9, 21%, 0.2bar1, 11/50
1) 89%
2)
21%, 0.2bar1, 11/50, 2/9
Two questions
1) What number is 30% of 180?
2) 104% of 85 is what number?
1) 54
2) 88.4
Water tank A has a capacity of 550 gallons and is 66% full. Water tank B is 53% full. The ratio of the capacity of Tank A to Tank B is 11:15.
1) How much water is in Tank A?
2) What is the capacity of Tank B?
1) 363 gallons
2) 750 gallons