April buys eight books for $44. Paperback books cost $4 and handback books cost $8.

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Captain Jones

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How many of each type of b? April buys eight books for $44. Paperback books cost $4 and hand back books cost $8. How many of each type of book did she buy
 
x=$4 books
y=$8 books

x+y=8
4x+8y=44

Solve for x in equation 1

x=8-y

Substitute in Equation 2

4(8-y)+8y=44
32-4y+8y=44
4y=12
y=3

8-3=5

So, she bought 5 $4 books and 3 $8 books
 
h = the number of hard-back books
p = the number of paper-back books

p + h = 8 books

4p + 8h = $44

-4p - 4h = -32
4p + 8h = 44

4h = 12

h = 3


5 paperback books and 3 hardback books.
 
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