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?

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) (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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