Ratios and Unit 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.

Front

How do you calculate a unit rate?

Back

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

Front

What is the unit rate of 25 pens for $1.00?

Back

The unit rate is $0.04 per pen.

Front

If Ilana made $45 for 6 hours of babysitting, how much does she make per hour?

Back

$7.50 per hour.

Front

What is the ratio of red markers to total markers if Spencer has 2 purple, 3 red, and 5 green markers?

Back

The ratio is 3:10.

Front

How do you simplify the ratio of girls to boys in Jane's class with 15 boys and 10 girls?

Back

The simplified ratio is 2:3.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal. For example, if a:b = c:d, then a/b = c/d.

Front

How can you find the missing value in a proportion?

Back

Cross-multiply the known values and solve for the unknown. For example, if a/b = c/x, then a*x = b*c.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, where the first quantity is the numerator and the second quantity is the denominator.

Front

If Mr. Antley traveled to 42 countries in 60 days, how many countries would he travel to in 40 days?

Back

28 countries.