SOLUTION: a shelf can hold at most 20 math books and 6 biology books, or 15 math books and 16 biology books. If the shelf is to hold math books only, how many books can it hold?

Algebra ->  Human-and-algebraic-language -> SOLUTION: a shelf can hold at most 20 math books and 6 biology books, or 15 math books and 16 biology books. If the shelf is to hold math books only, how many books can it hold?      Log On


   



Question 611945: a shelf can hold at most 20 math books and 6 biology books, or 15 math books and 16 biology books. If the shelf is to hold math books only, how many books can it hold?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
a shelf can hold at most 20 math books and 6 biology books, or 15 math books and 16 biology books. If the shelf is to hold math books only, how many books can it hold?
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20m + 6b = 15m+16b
5m = 10b
Each math book occupies the space of 1 biology book.
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So 16 biology books = 8 math books.
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The shelf can hold 15m + 16b = 15m+8m = 23 math books.
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Cheers,
Stan H.
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