QHow much money did the group of nine people spend in total at the hotel, given that eight of them spent Rs.12 each on their meals and the ninth person spent Rs.8 more than the average expenditure of all nine people?
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Explanation
To find the total money spent by the group of nine people at the hotel,
given that eight of them spent Rs.12 each on their meals and the ninth person spent Rs.8 more than the average expenditure of all nine people,
we can first determine the average expenditure of the group.
Let the average expenditure of all nine be represented by x.
Then, the total expenditure of the eight people who spent Rs.12 each can be represented as 12*8 = 96.
The ninth person's expenditure can be represented as x+8.
The total expenditure of the group can be represented as the sum of the expenditure of each person, or 9x.
We can set up the equation 9x = 96 + (x+8) to represent this situation.
Solving for x yields x = 13, so the average expenditure of the group is Rs.13.
The total money spent by the group is then equal to 9x = Rs.(9*13) = Rs.117.
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