Ratios and Rates Review

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

How do you calculate the cost per item?

Back

To find the cost per item, divide the total cost by the number of items. For example, if 2 cookies cost $6, the cost per cookie is $6 ÷ 2 = $3.

Front

If 3 toys cost $15, how much do 12 toys cost?

Back

$60.00 (12 toys is 4 times 3 toys, so $15 x 4 = $60).

Front

What does it mean if the ratio of men to women is 5:4?

Back

It means that for every 5 men, there are 4 women.

Front

How do you determine which person spent less per item?

Back

Calculate the cost per item for each person and compare. The person with the lower cost per item spent less.

Front

What is a rate?

Back

A rate is a specific kind of ratio that compares two different units, such as speed (distance per time) or price per item.

Front

If someone walks 30 kilometers in 10 hours, what is their walking rate?

Back

3 kilometers per hour (30 km ÷ 10 hours = 3 km/h).

Front

If Kelli bought 8 pens for $24, what is the cost per pen?

Back

$3.00 per pen ($24 ÷ 8 pens = $3.00).

Front

What is the formula to find a unit rate?

Back

To find a unit rate, divide the quantity by the number of units. For example, if 60 miles are driven in 2 hours, the unit rate is 60 miles ÷ 2 hours = 30 miles per hour.

Front

How do you compare two rates?

Back

Convert both rates to the same unit if necessary, then compare the values. The higher value indicates a faster rate.