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10. Tim bought two copies of the same hardcover book and three copies of the same paperback book cost $118. Sally bought three of

Question

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.

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Mathematics
3 years
2021-07-29T16:30:24+00:00
2021-07-29T16:30:24+00:00 1 Answers
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## Answers ( )

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