Question

9 men visited a hotel, 8 of them spent rs 4 each over their meal and the 9 th spent rs 2 more than the average of the nine. what is the total money spent by them on the meal ?

Answer 1

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Answer 2

Given:

9 men visited a hotel, 8 of them spent rs 4 each over their meal and the 9 th spent rs 2 more than the average of the nine.

To find:

The total money spent by them on the meal.

Solution:

As given, we have

The total number of men who visited a hotel = 9

8 persons spent Rs. 4 each over their meal.

So,

the total money spent by 8 persons

$= 8 \times 4$

$= 32 \: rs.$

Now,

Let the average of money spent by 9 persons = a Rs.

So,

The money spent by the 9th person = (a + 2) Rs.

Thus,

$a = \: \frac{total \: money \: spent \: by \: 9 \: persons}{9}$

$a \: = \frac{32 + a + 2}{9}$

On solving the above, we get

$9a = 32 + a + 2$

$8a = 34$

$a = \frac{34}{8}$

$a = 4.25 \: rs.$

So,

the money spent by the 9th person = 4.25 + 2 = 6.25 Rs.

Total money spent =

$32 + 6.25 = 38.25 \: rs.$

Hence, the total money spent by them on the meal is 38.25 Rs.