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# Algebra

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Adam and Barb planned a used book sale for the weekend so they gathered their books and agreed on a price for hardbacks and a lower price for paperbacks. Adam sold 14 hardcover books and 20 paperbacks and earned $234 for his efforts. Barb sold 15 hardcover books and 9 paperbacks. Barb made$201. How much did they charge for each hardcover and for each paperback?

Can anyone show how they did this problem if possible??

Sep 24, 2020

### 1+0 Answers

#1
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How much did they charge for each hardcover and for each paperback?

Hallo Guest!

$$14p+20h=234$$    | * 3

$$9p+15h=201$$    | * 4

$$42p+60h=702$$

$$\underline{36p+60h=804}$$

$$6p=-102$$

$$p=-17$$

$$42\cdot (-17)+60h=702\\ 60h=702+714$$

$$h=23.60$$

Adam and Barb sold the hardbacks for 23.60 each, gave away the paperbacks and gave 0.17 off each paperback.

!

Sep 24, 2020