Question

ashey, Frank, and erick have a total of $86 in their wallets. Ashey has $6 more than Erick. Frank has 2 times what Erick has. How much does each have?amount in asheys wallet= amount in franks wallet =amount in erick wallet =

Answer 1

"Ashley, Frank, and Erick have a total of $86", this can be expressed as

`A+F+E=86`

"Ashely has $6 more than Erick", this can be expressed as

`A=E+6`

"Frank has 2 times what Erick has", this can be expressed as

`F=2E`

Then, we combine all three equations

`\begin{gathered} A+F+E=86 \\ E+6+2E+E=86 \end{gathered}`

Let's solve for E.

`\begin{gathered} 4E+6=86 \\ 4E=86-6 \\ E=(80)/(4)_{}_{} \\ E=20 \end{gathered}`

Erick has $20.

Then, we find the other values.

`\begin{gathered} A=E+6=20+6=26 \\ F=2E=2\cdot20=40 \end{gathered}`

Ashley has $26.

Frank has $40.