Word Problems on Ratios and Rates

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as 'a to b' or a:b.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you calculate a rate?

Back

A rate is calculated by dividing one quantity by another, typically representing a relationship between two different units, such as distance per time.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If a cyclist travels at 22 feet per second, how far will he travel in 15 seconds?

Back

330 feet

Tags

CCSS.6.RP.A.3B

Front

What is the formula to find the total calories burned based on time spent exercising?

Back

Total Calories Burned = (Calories Burned per Minute) x (Total Minutes Exercised).

Tags

CCSS.7.RP.A.2C

Front

For every 3 minutes Ryan runs, he burns 28 calories. How many calories does he burn in 24 minutes?

Back

224 calories

Tags

CCSS.6.RP.A.3B

Front

What is the relationship between the amounts of chocolate syrup and milk in a recipe?

Back

The relationship is a ratio that shows how much syrup is needed for a certain amount of milk.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If Alex uses 5 ounces of chocolate syrup for 2 cups of milk, how much syrup is needed for 7 cups?

Back

17.5 ounces

Tags

CCSS.6.RP.A.3B

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Tags

CCSS.7.RP.A.2A

Front

Cassidy has 72 red beads and 90 blue beads. What is the ratio of red to blue beads?

Back

The ratio of red to blue beads is 72:90, which simplifies to 4:5.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If a bracelet has 15 blue beads, how many red beads does Cassidy need to maintain the same ratio?

Back

12 red beads