Problema Solution

A student buys 3 boxes of pencils and 2 boxes of Pens for $6. He He then buys 2 boxes of pencils and 4 boxes of pens for$8. Find cost of each box of pencils and each box of pens.

Answer provided by our tutors

Let


x = the price of one box of pencils

y = the price of one box of pens


the price of 3 boxes of pencils + price of 2 boxes of pens = 6

3*x + 2*y = 6


the price of 2 boxes of pencils + price of 4 boxes of pens = 8

2*x + 4*y = 8


By solving this system of equations


3*x + 2*y = 6

2*x + 4*y = 8


x = $1

y = $1.5


The price of one box of pencils is $1.

The price of one box of pens is $1.5.