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33 votes
33 votes
10. Tim bought two copies of the same hardcover book and three

copies of the same paperback book cost $118. Sally bought three of
the hardcover books and two of the paperback books for $137. Find
the cost for each type of book.

User Shnatsel
by
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1 Answer

22 votes
22 votes

Answer:

Let hardcover book be x

Let paperback book be y

2x+3y=$118....Equation 1

3x+2y=$137.... Equation 2

Solve for x and y using simultaneous equation

Using elimination method

2x+3y=118......×3

3x+2y=137......×2

6x+9y=354

6x+4y=274

9y-4y=80

5y=80

y=80÷5=16

substituting y=16 into equation 1

2x+3(16)=118

2x+48=118

2x=70

x=70÷2=35

Therefore hardcover costs $35 each

paperback cover costs $16 each

User Mohamed Kamal
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