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Question

A company sells detergent in three different sized boxes: small (S), medium (M) and large (L). The medium size costs 50% more than the small size and contains 20% less detergent than the large size. The large size contains twice as much detergent as the small size and costs 30% more than the medium size. Rank the three sizes from best to worst buy.

Accepted Answer

Suppose the small size costs 1 and the large size has 10 oz. The medium size then costs 1.50 and has 8 oz. The small size has 5 oz and the large size costs 1.95. The small, medium, and large size cost respectively, 0.200, 0.188, 0.195 dollars per oz. The sizes from best to worst buy are , MLS.