Ratios and Rates: Applying Equivalent Fractions/Ratios to Solve

A recipe calls for 2 cups of flour for every 6 cups of sugar. If you want to make a half batch, how many cups of flour do you need?

• 1 cup

• 2 cups

• 3 cups

• 4 cups

Answer explanation

When you half something you divide it by 2

In a classroom, the ratio of boys to girls is 4:5. If there are 20 boys, how many girls are there?

• 16 girls

• 20 girls

• 25 girls

• 30 girls

Answer explanation

Create equivalent ratios/fractions to solve

A map uses the scale 1 inch : 30 miles. Using this ratio, what would 3 inches apart be equal to in miles?

• 30 miles

• 60 miles

• 90 miles

• 120 miles

Answer explanation

Make equivalent fractions/ratios to solve

For every 8 ounces of water, a concentrated juice mix requires 2 ounces of syrup. How much syrup is needed for 32 ounces of water?

• 4 ounces

• 6 ounces

• 8 ounces

• 16 ounces

Answer explanation

Create equivalent fractions/ratios to solve

A car travels 150 miles using 5 gallons of gas. At this rate, how many miles can the car travel with just 1 gallon of gas?

• 10 miles per gallon

• 15 miles per gallon

• 30 miles per gallon

• 70 miles per gallon

Answer explanation

Set up equivalent ratios as fractions to solve

A printer prints 20 pages in 1 minute. How many pages will it print in 15 minutes at the same rate?

• 200 pages

• 300 pages

• 400 pages

• 500 pages

A pet store has a ratio of 5 cats to 4 dogs. If there are 20 cats in the store, how many dogs are there?

• 12 dogs

• 16 dogs

• 20 dogs

• 24 dogs

A group of students are planning a party and decide on a ratio of 3 balloons for every 2 students. If there are 30 students, how many balloons do they need?

• 20 balloons

• 30 balloons

• 45 balloons

• 60 balloons

A fruit salad recipe requires a ratio of 2 apples for every 3 oranges. If you use 12 apples, how many oranges do you need to keep the ratio?

• 8 oranges

• 12 oranges

• 16 oranges

• 18 oranges

Which numbers come next on the double number line?

• Sugar: 12

  Flour: 8

• Sugar: 12

  Flour: 18

• Sugar: 8

  Flour: 12

• I have no idea!