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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