Given that, they spent a total of 20 dollars.
Therefore, the first equation becomes,
[tex]x+y=20[/tex]Also, mom spent 8 more than 4 times the amount of daughter.
Therefore, the second equation becomes,
[tex]y=4x+8[/tex]Substitute 4x+8 for y in the equation x+y=20 implies,
[tex]\begin{gathered} x+4x+8=20 \\ 5x=12 \\ x=2.4 \end{gathered}[/tex]Use the equation x+y=20 to find the value of y.
[tex]\begin{gathered} y=20-x \\ y=20-2.4 \\ y=17.6 \end{gathered}[/tex]Therefore, daughter's spending is 2.4 dollars and mom's spending is 17.6 dollars
