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:
[tex]\begin{gathered} \frac{x}{2}+9=16 \\ \frac{x}{2}=16-9 \\ \frac{x}{2}=7 \\ x=7\cdot2 \\ x=14 \end{gathered}[/tex]Therefore her weekly allowance is $14.
