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After an 8-week exercise program, Grace lost 45 pounds and now weighs 122 pounds. How much did Grace weigh before she started her exercise program?

To find out how much Grace weighed before the exercise program, set up the equation:

Let [tex] x [/tex] be Grace's weight before the program. Then:
\[ x - 45 = 122 \]

Solve the equation by adding 45 to both sides:
\[ x = 122 + 45 \]
\[ x = 167 \]

Therefore, Grace weighed 167 pounds before starting her exercise program.

Answer :

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[/tex]

[tex]x=167 pounds[/tex]

Grace weighed 167 pounds before she started her exercise program.

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