Middle School

Grace lost 45 pounds after an 8-week exercise program and now weighs 122 pounds. Write and solve an equation to find out how much Grace weighed before she started her exercise program. Explain how you will solve the equation.

Answer :

Grace weighed 167 pounds before she started her exercise program.

Step-by-step 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

[tex]x-45=122[/tex]

Adding 45 on both sides

[tex]x-45+45=122+45\\x=167\ pounds[/tex]

Grace weighed 167 pounds before she started her exercise program.

Keywords: equation, addition

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