Problema Solution
Emily and Norachai are selling wrapping paper for a school fundraiser. Customers can buy rolls of plain wrapping paper and rolls of shiny wrapping paper. Emily sold 10 rolls of plain wrapping paper and 6 rolls of shiny wrapping paper for a total of $164. Norachai sold 8 rolls of plain wrapping paper and 12 rolls of shiny wrapping paper for a total of $232. Find the cost each of one roll of plain wrapping paper and one roll of shiny wrapping paper.
Answer provided by our tutors
let
x = the cost of one roll of plain wrapping paper
y = the cost of one roll of shiny wrapping paper
Emily sold 10 rolls of plain wrapping paper and 6 rolls of shiny wrapping paper for a total of $164:
10x + 6y = 164
Norachai sold 8 rolls of plain wrapping paper and 12 rolls of shiny wrapping paper for a total of $232:
8x + 12y = 232
by solving the system of equations:
10x + 6y = 164
8x + 12y = 232
we find:
x = $8
y = $14
click here to see the step by step solution of the system of equations:
the cost of one roll of plain wrapping paper is $8.
the cost of one roll of shiny wrapping paper is $14.