Brandy and Jennifer are selling wrapping paper for a school fundraiser.

Question

Customers can buy rolls of plain wrapping paper and rolls of holiday wrapping paper. Brandy sold 2 rolls of plain wrapping paper and 1 roll of holiday wrapping paper for a total of​ $43. Jennifer sold 7 rolls of plain wrapping paper and 1 roll of holiday wrapping paper for a total of​ $93. Write a system of Linear Equations and find how much each type of wrapping paper costs per roll algebraically​

Answer 1

Let x = cost of plain wrapping paper per roll
Let y = cost of holiday wrapping paper per roll

System of Linear Equations:
2x + y = 43
7x + y = 93

Solving the system of equations:
2x + y = 43
-2x -2x = -2x
y = 43 - 2x

7x + (43 - 2x) = 93
7x + 43 - 2x = 93
9x = 50
x = 5.55

y = 43 - 2(5.55)
y = 43 - 11.1
y = 31.9

Therefore, the cost of plain wrapping paper per roll is $5.55 and the cost of holiday wrapping paper per roll is $31.9.