PROPORTIONS - WORD PROBLEMS

Front

What is a proportion?

Back

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

Front

How do you solve a word problem involving proportions?

Back

Identify the ratios, set up a proportion equation, and solve for the unknown.

Front

If a car travels 420 miles in 8 hours, what is its speed in miles per hour?

Back

Speed = Distance/Time = 420 miles / 8 hours = 52.5 miles per hour.

Front

If 1 cm on a map represents 25 km, how many kilometers does 3 cm represent?

Back

3 cm represents 3 * 25 km = 75 km.

Front

What is the cross-multiplication method in proportions?

Back

Cross-multiplication involves multiplying the numerator of one ratio by the denominator of the other ratio to find equivalent ratios.

Front

If two figures are similar, what can be said about their corresponding sides?

Back

The corresponding sides of similar figures are in proportion.

Front

How do you find a missing value in a proportion?

Back

Set up the proportion equation and cross-multiply to solve for the missing value.

Front

What is the relationship between ratios and proportions?

Back

Ratios compare two quantities, while proportions state that two ratios are equal.

Front

If Pat needs 14 sticks of pepperoni for 28 pizzas, how many sticks does he need for 1 pizza?

Back

14 sticks / 28 pizzas = 0.5 sticks per pizza.

Front

How do you scale a ratio?

Back

To scale a ratio, multiply or divide both terms of the ratio by the same number.