Problema Solution
Mrs. Bennett's grandchildren are participating in a gift wrap sale to raise money for their school. She decided to stock up, so she ordered 4 rolls of reversible paper and 4 rolls of metallic paper from Nolan, spending a total of $88. She also ordered 2 rolls of reversible paper and 4 rolls of metallic paper from Doug, which cost a total of $60. Assuming that rolls of each type are priced the same, what is the price for each kind of paper?
Answer provided by our tutors
Let
x = the price per roll of reversible paper, x>=0
y = the price per roll of metallic paper, y>=0
4 rolls of reversible paper and 4 rolls of metallic paper cost $88:
4x + 4y = 88
2 rolls of reversible paper and 4 rolls of metallic paper cost $60:
2x + 4y = 60
We have the following system of equations:
4x + 4y = 88
2x + 4y = 60
........
click here to see the system of equations solved for x and y
........
x = $14
y = $8
The price per roll of reversible paper is $14.
The price per roll of metallic paper is $8.