Question

Jane spent 22% of the money on her amazon gift card. If she has 50$ left on her Amazon gift card, how much money did she have to begin with? Round to the nearest cent. (2 decimals, if needed.)

Answer 1

Answer:

The initial amount she begin with is;

$\text{\ 64.10}$

Explanation:

Given that Jane spent 22% of the money on her amazon gift card.

If she has $50 left on her Amazon gift card.

This means that after spending 22% of the money, she still has $50;

Let A represent the amount she have initially;

$\begin{gathered} A-22\text{\%A}=\text{ \ 50} \\ A-0.22A=50 \\ A(1-0.22)=50 \\ A(0.78)=50 \\ A=\frac{50}{0.78} \\ A=\text{ \ 64.10} \end{gathered}$

Therefore, the initial amount she begin with is;

$\text{\ 64.10}$