Basic Ratios
What is the ratio of 3 apples to 6 oranges in simplest form?
1:2
If the ratio of cats to dogs is 2:3, how many dogs are there if there are 6 cats?
9 dogs
Solve: 2/3 = x/9
x = 6
A store sells 4 pencils for $2. How much would 10 pencils cost?
$5
A car travels 150 miles in 3 hours. At this rate, how long will it take to travel 250 miles?
5 hours
Write the ratio 5 to 20 as a fraction in simplest form.
1/4
A recipe uses 2 cups of flour for every 3 cups of sugar. How much sugar is needed for 6 cups of flour?
9 cups
5/8 = x/24
x = 15
A recipe for 8 cookies uses 2 cups of flour. How much flour is needed for 20 cookies?
5 cups
The ratio of red to blue marbles is 3:7. If there are 40 marbles total, how many are red?
12 red
What is the unit rate of 12 miles in 3 hours?
4 miles per hour
A map scale is 1 inch = 5 miles. How many miles is 4 inches?
20 miles
Are these ratios proportional? 4/6 and 10/15
Yes
A runner travels 6 miles in 48 minutes. At this rate, how far will they run in 80 minutes?
10 miles
A recipe calls for 4 cups of water for every 5 cups of rice. If you use 15 cups of rice, how much water is needed?
12 cups
Express 8:12 as an equivalent ratio in simplest form.
2:3
The ratio of boys to girls is 3:4. If there are 28 students, how many are boys?
12 boys
x/7 = 12/21
x = 4
A painting is enlarged from 5 inches wide to 20 inches wide.
If the original height is 3 inches, what is the new height?
12 inches
A scale drawing has a ratio of 1:10. If a building is 50 feet tall in real life, how tall is it in the drawing?
5 feet
Which ratio is equivalent to 4:5?
a. 8:10
b.6:10
c. 10:12
8:10
A car travels 180 miles in 3 hours. What is the unit rate?
60 miles per hour
A proportion is given: 3/5 = 12/x.
Solve for x.
x = 20
A class has a ratio of 2:5 for boys to girls. If there are 35 students, how many are girls?
25 girls
A student solves a proportion incorrectly and gets x = 10 for 2/5 = x/20. What is the correct answer and why?
x = 8
(because 2/5 × 20 = 8; student likely mis-multiplied)