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| Boxed in boxes (Posted on 2009-01-26) |
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Anne has boxes in three sizes: large, medium, and small.
She puts 11 large boxes on a table. She leaves some of these boxes empty, and in each of the other boxes she puts 8 medium boxes. She leaves some of these medium boxes empty, and in each of the other medium boxes she puts 8 (empty) small boxes. Now, 102 of all the boxes on the table are empty.
How many boxes has Anne used in total?
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Submitted by K Sengupta
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Rating: 4.6667 (3 votes)
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Solution:
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(Hide)
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Each time Anne puts 8 boxes in a box, the total number of empty boxes increases by 8 - 1 = 7.
Let us assume that 8 boxes have been put in a box precisely n times.
Tehn, we must have 7*n + 11 = 102, giving: n=13, so that Anne used a total of (8*13 + 11) = 115 boxes.
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