math question 7th grade

Question

mani spent half of her weekly allowance playing mini-golf. To earn more money her parents let her wash the car for $4. What is her weekly allowance if she ended with $12?

Answer 1

Let's set W as Mani's weekly allowance.

After mini-golf, Mani has half of W left, or 1/2 W.

After washing the car, Mani now has 4 more dollars, or 1/2 W + 4.

Mani now has $12.

12 = 1/2 W + 4

We need to solve for W. When solving for variables, we generally want to remove everything that is on the side of the variable, starting from the terms farther from the variable itself.

In this case, we have 1/2 W + 4. The 4 is farther, so let's get rid of that.

12 = 1/2 W + 4

-4 - 4

8 = 1/2 W

Now, we simply multiply to get rid of the 1/2.

8 = 1/2 W

*2 *2

___ = W

And hopefully you can finish this with 8 * 2 = _______