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
The word problem is asking you to create an inequality that accuratly represents the amount that they charge for hardcovers compared to paperbacks.
+128472 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
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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]
