system of equation

Question

Jill bought four notebooks and three packs of paper for 23.75 a notebook costs four times as much as a pack of paper what is the cost of one pack of paper ?

Answer 1

Hi Kaylie,

Let X = the cost of one pack of paper

Let Y = the cost of a notebook

Given the information above, we can write the

following system of equations:

4Y + 3X = 23.75

Y - 4X = 0

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We can now solve the system of equations for X.

4Y + 3X = 23.75

(-4)(Y - 4X) =(-4)(0)

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4Y + 3X = 23.75

-4Y + 16X = 0

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19X = 23.75

X = 1.25

The cost of one pack of paper is $1.25.