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20 votes
20 votes
You buy 8 books for $44. Paperbacks are $4 and hardbacks are $8. How many of each type can you buy?

User Saustin
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1 Answer

26 votes
26 votes
She purchased 5 paperbacks at $4 and 3 hardbacks at $8 for a total of $44.

h = number of hardback books
p = number of paperback books
h + p = 8
so
h = 8-p
.
4*p = price of paperbacks
8*h = price of hardbacks
4*p + 8*h = 44
.
substitute h = 8-p
.
4p + 8(8-p) = 44
4p +64 -8p = 44
-4p = -20
p = 5
h = 8-p
h = 3
.
check to be sure the values are right
4*5 = 20
3*8 = 24
20 +24 = 44
User Skomski
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3.0k points