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Problem Solving (PS) | Re: Jamal got three monthly electric bills over the course of three months

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Solution



Given:
    •Average monthly bill was $44 more than the median bill
    •Sum of the largest and smallest bill was $412

To find:
    •The total amount of all the 3 bills

Approach and Working:
Let us assume the 3 bills are H (Highest), M (Median), and L (Lowest)

Given that,
    •\(\frac{1}{3}\) (H + M + L) = M + 44
    Or, H + M + L = 3M + 132
    Or, H + L = 2M + 132

As the sum of H and L is $412, we can write
    •2M + 132 = 412
    Or, 2M = 280
    Or, M = 140

Therefore, the total bill amount = H + M + L = H + L
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