High School

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?

Let [tex]x[/tex] represent Grace's original weight. The equation is [tex]x - 45 = 122[/tex]. To solve for [tex]x[/tex], add 45 to both sides of the equation, resulting in [tex]x = 167[/tex]. Therefore, Grace weighed 167 pounds before she started her exercise program.

Answer :

Grace weighed 167 pounds before she started her exercise.

Lost: 45 pounds

Weight after exercise: 122 pounds

X represents the weight before she started.

Loss = subtraction

Subtract the lost weight from original weight she started with.

Original - lost = weight after exercise weeks

x - 45 = 122

Add 45 on BOTH sides

x - 45 + 45 = 122 + 45

x = 167 pounds

Hope this helps!

Other Questions