Answer:a box of pencil cost=$4.395
And a ream of paper cost=$6.38
Step-by-step explanation:
Let the cost of box of pencil be represented as p
And the cost of ream of paper be represented as r
Such that
4 boxes of pencils and 9 reams of paper costing 75$ be represented as
4p+9r=75-----equation 1
Also, eight boxes of pencils and five reams of paper for 67 be represented as
8p + 5r=67------equation 2
Solving
4p+9r=75-----equation 1
8p + 5r=67------equation 2
By elimination method, multiply equation 1 by 2 and equation 2 by 1
8p +18r=150---equation 3
8p+5r=67----equation 4
Subtracting equation 4 from equation 3
13r=83
r=83/13
r=6.38
Putting the value of r=6.38 in equation 1 to solve for p, we have
4p+9r=75
4p+9(6.38)=75
4p+57.42= 75
4p=75-57.42
4p=17.58
p=17.58/4
p=4.395.
Therefore a box of pencil cost=$4.395
And a ream of paper cost=$6.38
