Proportions and Ratios in Word Problems

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, showing how many times one value contains or is contained within the other.

Front

What is a proportion?

Back

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

Front

If 3 tickets are needed for 1 go-kart ride, how many tickets are needed for 5 rides?

Back

15 tickets are needed (3 tickets x 5 rides = 15 tickets).

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the two ratios and set them equal to each other.

Front

What is the cross-multiplication method?

Back

The cross-multiplication method involves multiplying the numerator of one ratio by the denominator of the other ratio.

Front

If a/b = c/d, what is the cross-multiplication equation?

Back

The cross-multiplication equation is ad = bc.

Front

What is an example of a real-life ratio?

Back

A recipe that requires 2 cups of flour for every 3 cups of sugar can be expressed as a ratio of 2:3.

Front

How can ratios be simplified?

Back

Ratios can be simplified by dividing both terms by their greatest common factor.

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, such as miles per hour.

Front

If 4 apples cost $2, what is the unit rate?

Back

The unit rate is $0.50 per apple ($2 ÷ 4 apples = $0.50/apple).