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 set the products equal to each other.

Front

If 4 pages take 18 minutes to read, how do you find the time to read 30 pages?

Back

Set up a proportion: 4/18 = 30/x, then cross-multiply and solve for x.

Front

What is the formula to find the unit rate?

Back

The unit rate is found by dividing the quantity by the number of units, e.g., miles per hour.

Front

How do you find the missing value in a proportion?

Back

Use cross-multiplication to find the missing value.

Front

If 14 sticks of pepperoni are needed for 28 pizzas, how do you find the amount for 36 pizzas?

Back

Set up a proportion: 14/28 = x/36, then cross-multiply and solve for x.

Front

What is the relationship between distance, rate, and time?

Back

The relationship is given by the formula: Distance = Rate × Time.

Front

How do you determine the total number of students earning an A in a larger class?

Back

Use the ratio of students earning an A in the smaller class to find the total in the larger class.

Front

If a car travels 120 miles in 3 hours, how do you find the time to travel 200 miles?

Back

First find the rate (120 miles/3 hours = 40 miles/hour), then use the formula: Time = Distance/Rate.

Front

What is cross-multiplication?

Back

Cross-multiplication is a method used to solve proportions by multiplying the numerator of one ratio by the denominator of the other.