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Question 334692: At Gwen's garage sale, all books were one price, and all magazines were another price. Harriet bought four books and three magazines for $1.45, and June bought two books and five magazines for $1.25. What was the price of a book and what was the price of a book and what was the price of a magazine?
Answer by nyc_function(2741)   (Show Source):
You can put this solution on YOUR website! 4B + 3M = 145 cents
2B + 5M = 125 cents
This second equation tells you that buying twice as much will give you:
4B + 10M = 250 cents
So, now, compare the two equations:
4B + 3M = 145 cents
4B + 10M = 250 cents
Since both have the same number of books, the only difference is in the number of magazines:
7 extra magazines accounts for 105 cents (subtracting 10M - 3M, and 250 - 145).
So, magazines must cost 15cents, or $0.15 each.
And putting this value into one of the original equations:
4B + 3 * 15 = 145
4B = 100
B = 25 cents = $0.25
So, magazines cost $0.15, and books cost $0.25.
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