Concept explainers
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?
To find: The cost of each box of crayons and each ream of paper with given conditions.
Answer to Problem 17P
The cost of each box of crayons is $4 and the cost of each ream of paper is $10.
Explanation of Solution
Given information:
The cost of each box of crayons and each ream of paper when a student bought 1 box of crayon and 5 reams of paper is $54. She bought 5 box of crayons and 3 reams of paper for $50.
Calculation:
Let us assume the cost of each box of crayons is x and the cost of each ream of paper is y. Hence we can write the above statement in equation form as follows:
In order to solve two systems by substitution, we solve one of the equations for one of the variables, and plug this into other equation.
As it is given that
Now we substitute
By plugging
Therefore the solution is
The cost of each box of crayons is $4 and the cost of each ream of paper is $10.
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