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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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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