Concept explainers
A student bought 3 boxes of pencils and 2 boxes of pens for $6. He then bought 2 boxes of pencils and 4 boxes of pens for $8. Find the cost of each box of pencils and each box of pens.
The cost of each box of pen and each box of pencil
Answer to Problem 18P
The cost of a box of pencil is
The cost of a box of a pen is
Explanation of Solution
Given information:
A student bought 3 boxes of pencils and 2 boxes of pens for $6.
He then bought 2 boxes of pencils and 4 boxes of pens for $8.
Calculation:
Let the cost of a pencil (in $) =
Let the cost of a pen (in $) =
According to the first condition:
According to the second condition:
Solve these equations by using elimination method:
Multiply
Multiply
Solve
Divide both sides by 4:
Simplify:
Now plug
Subtract 6 from both sides:
Divide both sides by 6:
Simplify:
Therefore, the cost of a box of pencil is
The cost of a box of a pen is
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