Intro to Ratios
Write the ratio of 3 red apples to 5 green apples in simplest form.
3:5
The ratio of cats to dogs is 4:6. Simplify the ratio.
4:6 = 2:3
A car travels 120 miles in 4 hours. What is the unit rate in miles per hour?
120 ÷ 4 = 30 miles per hour
What is 25% of 40?
0.25×40 = 10
How many cups are in 2 pints?
4 cups
A bag has 6 blue marbles and 9 red marbles. Write the ratio of blue to red in simplest form.
6:9 = 2:3
If the ratio of boys to girls is 3:5 and there are 15 boys, how many girls are there?
3:5 and 15 boys → scale factor 5 → girls = 5×5 = 25 girls
You buy 6 notebooks for $9. What is the cost per notebook?
$9 ÷ 6 = $1.50 per notebook
A class has 20 students. If 40% are girls, how many girls are in the class?
0.4×20 = 8 girls
Convert 3 quarts to pints.
6 pints
There are 12 boys and 18 girls in a class. Write the ratio of boys to total students in simplest form.
total = 12 : 30 = 2:5
The ratio of chocolate to vanilla ice cream is 2:3. If there are 30 total scoops, how many scoops are chocolate?
Chocolate:Vanilla = 2:3 → total parts = 5 → 30 ÷ 5 = 6 each part → chocolate = 2×6 = 12 scoops
A runner jogs 9 miles in 1.5 hours. What is the unit rate?
9 ÷ 1.5 = 6 miles per hour
What percent of 50 is 15?
15/50 = 0.30 → 30%
Convert 5 gallons to pints
40 pints
A recipe uses 10 cups of water and 15 cups of juice. Write the ratio of water to juice and simplify. Then explain what the ratio means.
10:15 = 2:3; meaning for every 2 cups of water, there are 3 cups of juice
The ratio of teachers to students is 1:18. If there are 360 students, how many teachers are needed?
1:18 with 360 students → 360 ÷ 18 = 20 teachers
A printer prints 450 pages in 6 minutes. What is the unit rate in pages per minute?
450 ÷ 6 = 75 pages per minute
At a school, 72 out of 300 students ride the bus. What percent of students ride the bus?
72/300 = 0.24 → 24%
A soup recipe needs 18 cups of broth. How many pints is this?
9 pints
A classroom has 24 desks. If ⅔ of them are filled, write the ratio of filled desks to empty desks in simplest form.
Filled = ⅔ of 24 = 16; Empty = 8 → 16:8 = 2:1
A map uses a scale of 2 inches : 15 miles. How many miles does 8 inches represent?
2 inches:15 miles; 8 inches is 4 times as much → 15×4 = 60 miles
A grocery store sells 18 pounds of apples for $27. What is the unit price per pound, and explain what it means.
$27 ÷ 18 = $1.50 per pound; meaning each pound costs $1.50
A jacket costs $80 and is discounted 35%. How much money is taken off the original price?
35% of $80 = 0.35×80 = $28 off
A chef has 4 gallons and 2 quarts of sauce. How many total pints does the chef have?
36 pints