Answer:
Given that,
Mrs. Copeland's grandchildren are participating in a gift wrap sale
she ordered 4 rolls of reversible paper and 2 rolls of metallic paper from Melissa, spending a total of $68.
She also ordered 1 roll of reversible paper and 4 rolls of metallic paper from Xavier, which cost a total of $52.
Let x be the price of a roll of reversible paper and y be the price of a roll of metallic paper.
we get, the system of equations as,
[tex]4x+2y=68-----(1)[/tex][tex]1x+4y=52------(2)[/tex]multiply the equation (2) by 4 we get,
[tex]4x+16y=208-----(3)[/tex]Subtract equation (1) from equation (3) we get
[tex]4x+16y-4x-2y=208-68[/tex][tex]14y=140[/tex][tex]y=10[/tex]Substitute y=10 in the equation (1) we get,
[tex]4x+2(10)=68[/tex][tex]4x+20=68[/tex][tex]4x=68-20[/tex][tex]4x=48[/tex][tex]x=12[/tex]The price of a roll of reversible paper is $12
The price of a roll of metallic paper is $10
Answer is:
The price of a roll of reversible paper is $12
The price of a roll of metallic paper is $10