Question

seven friends spent rs 14 each on a project and the eighth friend spent rs 21 more than the average expenditure of all eight of them. what is the amount of total money (in rs) spent by them?

Answer 1

Money spent by each Friend = 14 Rs.

So Money spent by 7 Friends = 14 * 7

Therefore Money spent by 7 Friend = 98 Rs.

and let Money spent by Eighth Friend be (x) Rs. ---------------------- 1

So, Average of 8 Friends = ( 98 + x ) / 8

and Money spent by Eighth Friend = 21 + [ ( 98 + x ) / 8] ----------- 2

So, From 1 and 2 we can Conclude that :

x = 21 + ( 98 + x ) / 8

so, x = ( 168 + 98 + x ) / 8

Therefore, 8x = 266 + x

8x - x = 266

7x = 266

Therefore, x = 38

So, Money spent by Eighth Friend = 38 Rs.

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Thanks

Regards

Aditya Suryawanshi

Answer 2

Answer:136

Step-by-step explanation:instead of giving x to 8th person let me choose x as average of 8 persons together.

7 person ave= 14 , so total- 98

8 person ave= x, so total- 8x

And 8th person’s = 21+x

=> 98+[21+x] = 8x

=> 17=x

=> total sum spent = 17*8 = 136