Problem:
A company sells detergent in three different sized boxes: small , medium and large . The medium size costs more than the small size and contains less detergent than the large size. The large size contains twice as much detergent as the small size and costs more than the medium size. Rank the three sizes from best to worst buy.
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Answer Choices:
A.
B.
C.
D.
E.
Solution:
Neither the units of size nor the cost are important in this problem. So for convenience, suppose the small size costs and weighs ounces. To determine the relative value, we compare the cost per unit weight.
So the value, or buy, from best to worst is medium, large and small, that is .
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions