Proportions Word Problems Review

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, and d are in proportion.

Front

How do you set up a proportion for a word problem?

Back

Identify the two ratios that are being compared in the problem. Write them as fractions and set them equal to each other.

Front

What is the cross-multiplication method in solving proportions?

Back

Cross-multiplication involves multiplying the numerator of one fraction by the denominator of the other fraction. For example, if a/b = c/d, then ad = bc.

Front

If 1 dollar equals 6 Pounds, how would you express this as a proportion?

Back

Front

Back

Cross-multiply to get 132 * 1 = 6 * x, then solve for x.

Front

What is the first step in solving a word problem involving proportions?

Back

Read the problem carefully to identify the quantities involved and determine the relationship between them.

Front

How do you convert a word problem into a mathematical equation?

Back

Translate the words into numbers and symbols, identifying the variables and constants involved.

Front

If you can buy 4 bunches of grapes for $10, how would you express this as a proportion?

Back

Front

Back

Cross-multiply to find x: 4 * 25 = 10 * x, so x = 10.

Front

How do you determine the total cost of multiple items using proportions?

Back

Set up a proportion comparing the cost of one item to the total cost of multiple items.