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

Answer:

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

Step-by-step 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

$x + y = 93.15$

$25.50 + y + y = 93.15$

$2y = 67.65$

$y = \frac{67.65}{2}$

$y = 33.825$

$x = 25.50 + y = 25.50 + 33.825 = 59.325$

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