It was a very hot day, and four couples together drank 44 bottles of Coca-Cola. Anna drank 2, Betty 3, Carol 4, and Dorothy 5 bottles. Mr. Brown drank as many bottles as his wife, but each of the other men drank more than his wife: Mr. Green twice as much, Mr. White three times as much, and Mr. Smith four times as much. Name the wives of these men.
The number of possibilities is limited, so a reasonable enumeration can be used.

## Solution

Let $x, y, z, t$ be the amounts drunk by the wives of Brown, Green, White, and Smith, respectively. From the conditions, we have $x+y+z+t=14$ and $x+2y+3z+4t=30$. Therefore,

## Answer

Anna Smith, Betty White, Carol Green, Dorothy Brown.

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