Solving 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 proportion?

Back

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

Front

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

Back

If a/b = c/d, then ad = bc, where a, b, c, and d are numbers.

Front

If Krystal sold 56 subscriptions in 72 days, how do you find the number of subscriptions she would sell in 216 days?

Back

Set up the proportion: 56/72 = x/216 and solve for x.

Front

If Danielle used 8 cm of tape for 4 presents, how do you find how many presents she can wrap with 30 cm?

Back

Set up the proportion: 8/4 = 30/x and solve for x.

Front

How do you find the distance a car travels if it goes 420 miles in 8 hours?

Back

Set up the proportion: 420/8 = x/12 and solve for x.

Front

If 3 meals cost $27, how do you find the cost of 12 meals?

Back

Set up the proportion: 3/27 = 12/x and solve for x.

Front

If Pat needs 14 sticks of pepperoni for 28 pizzas, how do you find how many sticks are needed for 36 pizzas?

Back

Set up the proportion: 14/28 = x/36 and solve for x.

Front

What is cross-multiplication in solving proportions?

Back

Cross-multiplication involves multiplying the numerator of one ratio by the denominator of the other ratio.

Front

What does it mean if two ratios are equivalent?

Back

It means that they represent the same relationship between quantities.