Question

Ashley has x dollars. She spends $23.50 on a new top. She decides to keep 2/5 of what she has left which is 13.80. How many dollars did Ashely have originally?

Answer 1

`\begin{gathered} \text{ Se originally had x dollars, }but\text{ she spent \$23.50, so she now has} \\ x-23.50 \\ \text{ then, she k}eps\text{ 2/5 of what she has left, and that quantity is 13.80, so} \\ (2)/(5)(x-23.50)=13.80 \end{gathered}`
`\begin{gathered} \text{Thus we have an equation that we can solve!} \\ (2)/(5)(x-23.50)=13.80 \\ 2(x-23.50)=5\cdot13.80 \\ 2(x-23.50)=69 \\ x-23.50=(69)/(2) \\ x-23.50=34.50 \\ x=34.50+23.50 \\ x=58 \\ \\ \\ \text{Ashley originally had \$58 dollars!} \end{gathered}`