Problema Solution

A student bought 1 box of crayons and 5 reams of paper for $54. She bought 5 boxes of crayons and 3 reams of paper for $50. What is the cost of each box of crayons and each ream of paper?

Answer provided by our tutors

let


c = the cost of 1 box of crayons


p = the cost of 1 ream of paper


A student bought 1 box of crayons and 5 reams of paper for $54:


c + 5p = 54


She bought 5 boxes of crayons and 3 reams of paper for $50:


5c + 3p = 50


by solving the system of equations:


c + 5p = 54


5c + 3p = 50


we find:


c = $4


p = $10


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the cost of each box of crayons is $4.


the cost of each ream of paper is $10.