Understanding Ratios
A basket has 3 apples and 5 oranges. Write the ratio of apples to oranges.
3:5
You travel 120 miles in 2 hours. What is your average speed in miles per hour?
60 miles per hour.
Complete the equivalent ratio: 2:3 = 4:___
6
If 1 notebook costs $2, how much do 3 notebooks cost?
$6
If 2 pencils cost $1, how much do 4 pencils cost?
$2
There are 8 boys and 12 girls in a class. Write the ratio of boys to total students in simplest form.
8:20 = 2:5
A 6-pack of water costs $3. What is the cost per bottle?
$0.50 per bottle.
Are 3:4 and 9:12 equivalent ratios? Explain.
Yes. Multiply both parts of 3:4 by 3 to get 9:12.
Complete the table pattern: 2, 4, 6, 8 notebooks cost $4, $8, $12, $___
$16
A car uses 3 gallons of gas to travel 90 miles. How many miles per gallon does it get?
30 miles per gallon
A recipe uses 2 cups of flour for every 3 cups of sugar. How many cups of flour are needed for 9 cups of sugar?
6 cups of flour
A runner completes 15 miles in 3 hours. How many miles does the runner travel per hour?
5 miles per hour
Complete the equivalent ratio: 5:8 = ___:24
15:24. Multiply both parts by 3
A car travels 60 miles in 1 hour. Complete the ratio table: 1 hour = 60 miles, 2 hours = ___ miles, 4 hours = ___ miles.
120 miles and 240 miles
A recipe uses 3 cups of flour for 12 cookies. How many cups are needed for 36 cookies?
9 cups of flour
A team has 15 wins and 10 losses. Write the ratio of wins to losses in simplest form.
15:10 = 3:2
A 12-ounce box of cereal costs $4.80. What is the cost per ounce?
$0.40 per ounce.
A recipe calls for 4 cups of water for every 6 cups of juice. How much water is needed for 18 cups of juice?
12 cups of water. Multiply both parts of 4:6 by 3.
A ratio table shows 3:12, 6:24, and 9:36. What is the constant multiplier from the first quantity to the second?
Multiply by 4
A store sells 5 notebooks for $7.50. What is the cost of 8 notebooks at the same rate?
$1.50 each × 8 = $12
A bag contains red, blue, and green marbles in a ratio of 2:3:5. If there are 40 marbles total, how many of each color are there?
10 red, 15 blue, and 25 green marbles.
A printer prints 84 pages in 7 minutes. At this rate, how many pages can it print in 15 minutes?
12 pages per minute × 15 = 180 pages
Determine whether 12:20, 15:25, and 18:30 are all equivalent. Explain how you know.
Yes. All three simplify to 3:5
A school has 4 teachers for every 100 students. Create an equivalent ratio to find the number of teachers needed for 350 students.
14 teachers. 4/100 = 14/350
A cyclist travels 42 miles in 2 hours. At the same speed, how far will the cyclist travel in 3.5 hours?
21 miles per hour × 3.5 = 73.5 miles