Linear Equations! Help
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Linear Equations! Help

[From: ] [author: ] [Date: 12-06-01] [Hit: ]
x = 11/5,Im sure you can figure out what that will be in dollars and cents yourself.......
Sisters Breanna and Stephanie are each given $40 to spend at a second-hand book fair. All non-fiction books are sold at one fixed price and all fiction books are sold at a different fixed price. Breanna buys eight non-fiction and five fiction books and is given $1 change. Stephanie buys four non-fiction and ten fiction books and receives $4 change.

Determine algebraically the cost of buying a non-fiction book. Give your answer in dollars and cents.

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If the cost for a fiction book is x and the cost of a non-fiction book is y, then:

5x + 8y = 39
10x + 4y = 36

Solve for x, y:

x = 11/5, y = 7/2

I'm sure you can figure out what that will be in dollars and cents yourself.
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