Question

5) Danielle spent half of her weeklyallowance on candy. To earn more moneyher parents let her clean the oven for $9.What is her weekly allowance if she endedwith $16?

Answer 1

Let's use the variable x to represent her allowance.

First, she spent half the total on candy, so now she has x/2.

Then, she earned more $9 from cleaning the oven, so now she has x/2 + 9

This amount is equal $16, so let's write an equation and solve it for x:

$\begin{gathered} \frac{x}{2}+9=16 \\ \frac{x}{2}=16-9 \\ \frac{x}{2}=7 \\ x=7\cdot2 \\ x=14 \end{gathered}$

Therefore her weekly allowance is $14.