Question

In two or more complete sentences write and solve an equation for the situation and explain how you will solve the equation. After an 8-week exercise program Grace lost 45 pounds. She now weighs 122 pounds. How much did Grace weigh before she started her exercise program?

Answer 1

Grace weighed 167 pounds before she started her exercise program.

Explanation:

Given,

Weight lost by Grace = 45 pounds

Weight of Grace after exercise weeks = 122 pounds

Let,

x represents the weight of Grace before she started the exercise program.

Loss means subtraction, therefore,

We will subtract the lost weight from original weight.

Original weight - Weight lost = Weight after exercise weeks

`x - 45 = 122`

Adding 45 on both sides

`x - 45+ 45= 122+45`

`x=167 pounds`

Grace weighed 167 pounds before she started her exercise program.