SOLUTION: Alana and Petra go to a used book sale, where every book is the same price. Alana buys 4 books and Petra buys 2 books. They run into their friend Angus, who really loves to read, a

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Question 1205542: Alana and Petra go to a used book sale, where every book is the same price. Alana buys 4 books and Petra buys 2 books. They run into their friend Angus, who really loves to read, and discover that he has bought 16 books. Angus received a $15 discount, but he still spent $5 more than alana and petra combined. How much does one book cost?
Found 2 solutions by greenestamps, josgarithmetic:
Answer by greenestamps(13198)   (Show Source): You can put this solution on YOUR website!


Let x be the cost in dollars of each book.

Alana bought 4 books, costing a total of 4x dollars; Petra bought 2, costing 2x dollars. Together they spent 4x+2x = 6x dollars.

Angus bought 16 books, costing a total of 32x dollars, but got a $15 discount, so the total he paid was 32x-15 dollars.

The amount Angus spent was $5 more than Alana and Petra together:

16x-15 = 6x+5
10x = 20
x = 2

ANSWER: the cost of each book was $2
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
p, price of each book

              HowManyBook            Cost

Alana              4                  4p

Petra              2                  2p

Angus             16                 16p-15

"Angus received a $15 discount, but he still spent $5 more than alana and petra combined."

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