Adam and Barb had a book sale over the weekend. Adam sold 4 hardcover books and ten paperbacks. Barb sold 5 hardcover books and 7 paperbacks for the same prices each. Adam sold $62 worth of books while Barb sold $61 worth. How much did they charge for hardcovers and how much for paperbacks?

What is the innequality equation

Guest Sep 23, 2017

#1**0 **

The word problem is asking you to create an inequality that accuratly represents the amount that they charge for hardcovers compared to paperbacks.

Guest Sep 23, 2017

#2**+1 **

We don't have an "inequality" here....just a system of equations

Let P be the price of a paperback and H be the price of a hardcover book

And we have that

10P + 4H = 62 ⇒ this represents Adam's situation (1)

7P + 5H = 61 ⇒ this reperesents Barb's siutation (2)

Multiply (1) through by 5 and (2) through by -4 and add them together

So we have

50P + 20H = 310

-28P - 20h = -244

________________

22P = 66 divide by 22 on both sides

P = 3 this is the price of a paperback [in dollars]

And using (1) to find H, we have

10 (3) + 4H = 62

30 + 4H = 62 subtract 30 from both sides

4H = 32 divide by 4 on both sides

H = 8 this is the price of a hradcover book [ in dollars]

CPhill Sep 23, 2017