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?

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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 [tex]x + y = 93.15[/tex]

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 [tex]x = 25.50 + y[/tex]

So

[tex]x + y = 93.15[/tex]

[tex]25.50 + y + y = 93.15[/tex]

[tex]2y = 67.65[/tex]

[tex]y = \frac{67.65}{2}[/tex]

[tex]y = 33.825[/tex]

[tex]x = 25.50 + y = 25.50 + 33.825 = 59.325[/tex]

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