ExplanationCall the smallest bill S, the middle bill M, and the largest bill L.

M is the same as the median, since there are only three values. The equation for average is:

\(\frac{Sum..of..bills}{Number..of..bills}=Average\)

Incorporate the equation for averages into the following equation:

\(\frac{S+M+L}{3}=M+44\)

While the individual values of S and L are not given, their sum is:

\(412 = 2M + 132\)

\(280 = 2M\)

\(140 = M\)

Finally, add M to the sum of S and L:

\(140 + 412 = 552\)

Hence option B is correct!
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Sandy

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