Ratio Basics
This compares two quantities using a colon, fraction, or the word "to."
What is a Ratio?
If a bakery uses 12 cups of flour for every 3 cups of sugar in their famous recipe, this specific value represents the amount of flour needed per 1 cup of sugar.
4 cups flour (per 1 cup sugar)
Which is greater: 2:5 or 3:5?
3:5
A car travels 180 miles in 3 hours. How far will the car go in one hour?
60 miles
A recipe uses 2 cups flour for 1 cup sugar. How much flour is needed for 5 cups sugar?
10 cups flour
Write the ratio of 8 boys to 12 girls in simplest form.
2:3, 2/3, or 2 to 3
Cups of Juice Cups of Water
1 3
2 6
3 9
What is the ratio of juice to water?
1:3
Compare 4:8 and 3:6.
They are equivalent (both simplify to 1:2).
24 cookies cost $6. How much is one cookie?
$0.25
There are 18 red balloons and 12 blue balloons. What is the ratio of red to blue? (simplify if possible)
3:2
A classroom has 15 girls and 10 boys. What is the ratio of boys to total students? (Simplify if possible)
2:5, 2/5, or 2 to 5
Complete the table.
Miles Hours
60 1
120 ?
2 hours
Which team has the better goal percentage? (Show work)
Team B
A runner completes 15 miles in 3 hours. How far will they go in one hour?
5 miles
If 4 notebooks cost $12, how much do 7 notebooks cost?
$21
Which ratio is equivalent to 4:6?
A. 8:10
B. 2:3
C. 5:7
D. 12:20
B. 2:3
A graph shows a straight line passing through (2,6), (4,12), and (6,18). Is the relationship proportional?
(Hint: Check whether these ratios are equivalent)
Yes
Which mixture is stronger?
2 scoops of lemonade mix for 5 cups water
3 scoops of lemonade mix for 6 cups water
3 scoops for 6 cups water
Which is the better buy?
12 pencils for $3
20 pencils for $6
12 pencils for $3 (4 pencils per dollar vs. about 3.3 pencils per dollar).
A map uses a scale of 1 inch = 5 miles. Two cities are 7 inches apart on the map. How many miles apart are they in real life?
35 miles
True or False: The ratios 5:8 and 8:5 are equivalent
False
If apples cost $3 each, how much do 4 apples cost? (Create a labeled table showing cost of 1 apple, 2 apples, 3 apples, and 4 apples)
What is $12? (Also check table + labels)
Explain how unit rates help compare ratios.
They compare the amount for one unit, making comparisons easier. (You can multiply up easily too)
A faucet fills 48 gallons in 6 minutes. How many gallons will it fill in 1 minute?
A bike travels 45 miles in 3 hours. At the same rate, how far will it travel in 8 hours?
120 miles