Ratios and Proportions

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, expressed as 'a:b' or 'a/b'.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal, expressed as 'a/b = c/d'.

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the terms and then solve for the unknown variable.

Front

What is the ratio of boys to girls in a class of 30 students with 18 boys?

Back

The ratio of boys to girls is 3:2.

Front

If you earn $15 every 3 weeks, how much will you earn in 5 weeks?

Back

You will earn $25 in 5 weeks.

Front

What is the formula for finding a missing value in a proportion?

Back

If a/b = c/x, then x = (b*c)/a.

Front

What does it mean if two ratios are equivalent?

Back

It means that they represent the same relationship between quantities.

Front

How can you express the ratio of 18 to 30 in simplest form?

Back

The simplest form of the ratio 18:30 is 3:5.

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 is the denominator.

Front

If a recipe calls for a ratio of 2:3 of sugar to flour, how much sugar is needed for 6 cups of flour?

Back

You need 4 cups of sugar.