On a website selling books, three paperback books and five hardcover books cost $80.10, and seven paperback books and four hardc over books cost $100.65. What is the total cost of one paperback and one hardcover book?
1 answer:
To answer this kind of question, you need to insert the first equation into second equation or vice versa. The equation from the question should be: 1. 3 paperback books + 5 hardcover book = $80.10 2. 7 paperback books + 4 hardcover book= $100.65 It would be easier to convert the 1st equation into 5 hardcover book = $80.10- 3 paperback books hardcover book= $16.02- 0.6 paperback books Then insert it to 2nd equation: 7 paperback books + 4 ($16.02- 0.6 paperback books)= $100.65 7 paperback books + $64.08- 2.4 paperback books= $100.65 4.6 paperback books = $100.65- $64.08= $36.57 paperback book= $7.95 Insert paperback book price to the first equation to find the hardcover book price 3 paperback books + 5 hardcover book = $80.10 3 ($7.95)+ 5 hardcover book = $80.10 5 hardcover book = $80.10 - $23.85= $56.25 hardcover book = $11.25 Then one paperback and one hardcoverbook= $7.95 + $11.25= $19.20
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