Question

You purchase two supplemental texts on sale for your math course, totaling $93.15. You can’t remember the cost of each text, but you remember that one text is $25.50 more than the other. How much does each text cost?

Answer 1

One of the texts costs $59.325 and the other costs $33.825

Explanation:

This question can be solved by a system of equations:

I am going to call one text x and the other y.

You purchase two supplemental texts on sale for your math course, totaling $93.15.

This means that
`x + y = 93.15`

You can’t remember the cost of each text, but you remember that one text is $25.50 more than the other.

This means that
`x = 25.50 + y`

So

`x + y = 93.15`

`25.50 + y + y = 93.15`

`2y = 67.65`

`y = (67.65)/(2)`

`y = 33.825`

`x = 25.50 + y = 25.50 + 33.825 = 59.325`

One of the texts costs $59.325 and the other costs $33.825