Question

A mom took her daughter shopping with her allowance. Together, they spent $20. The mom spent 8 more than 4 times the amount of the daughter. Find the amount they each spent. x is the daughter's spending and y is the mother's spending

Answer 1

Given that, they spent a total of 20 dollars.

Therefore, the first equation becomes,

`x+y=20`

Also, mom spent 8 more than 4 times the amount of daughter.

Therefore, the second equation becomes,

`y=4x+8`

Substitute 4x+8 for y in the equation x+y=20 implies,

`\begin{gathered} x+4x+8=20 \\ 5x=12 \\ x=2.4 \end{gathered}`

Use the equation x+y=20 to find the value of y.

`\begin{gathered} y=20-x \\ y=20-2.4 \\ y=17.6 \end{gathered}`

Therefore, daughter's spending is 2.4 dollars and mom's spending is 17.6 dollars