Ratio and Rate Problems

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.

Front

What is a rate?

Back

A rate is a specific kind of ratio that compares two different units, such as miles per hour or cost per item.

Front

How do you solve a ratio problem?

Back

To solve a ratio problem, identify the quantities being compared, set up a proportion if necessary, and solve for the unknown quantity.

Front

If a papermaker creates 2 sheets of paper in 3 hours, how many sheets can they produce in 24 hours?

Back

16 sheets.

Front

For every 6 yards of fabric, a tailor sews 4 shirts. How many shirts can they sew with 15 yards of fabric?

Back

10 shirts.

Front

If there are 4 dogs for every 3 toys, how many toys are there for 20 dogs?

Back

15 toys.

Front

A bakery uses 2 cups of sugar for every 5 cakes. How many cups of sugar are needed for 15 cakes?

Back

6 cups of sugar.

Front

An artist paints 18 square feet of a mural every 45 minutes. How many square feet can they paint in 5 minutes?

Back

2 square feet.

Front

What is the formula for finding a unit rate?

Back

To find a unit rate, divide the quantity by the number of units, resulting in a value per one unit.

Front

How can you express a ratio as a fraction?

Back

A ratio can be expressed as a fraction by placing the first quantity over the second quantity.