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

The initial amount she begin with is;

`\text{\$64.10}`

Step-by-step 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=(50)/(0.78) \\ A=\text{ \$64.10} \end{gathered}`

Therefore, the initial amount she begin with is;

`\text{\$64.10}`