Question

Imani 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 \( A \) be Imani's weekly allowance.

Imani spent half of her weekly allowance on mini-golf, which can be expressed as:

\[
\frac{A}{2}
\]

After spending this amount, she earned $4 by washing the car. Therefore, her total after the mini-golf and the car wash is:

\[
A - \frac{A}{2} + 4
\]

Simplifying this expression gives:

\[
\frac{A}{2} + 4
\]

According to the problem, she ended up with $12. Thus, we can set up the equation:

\[
\frac{A}{2} + 4 = 12
\]

Now, subtract 4 from both sides:

\[
\frac{A}{2} = 8
\]

Next, multiply both sides by 2 to solve for \( A \):

\[
A = 16
\]

Thus, Imani's weekly allowance is \( \boxed{16} \).