SOLUTION: Seven men agree with eighth man to subscribe a sum of money to a fund. The first seven are to subscribe Rs.50 each and the eighth man Rs. 70 more than the average of all the eight

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Question 136754: Seven men agree with eighth man to subscribe a sum of money to a fund. The first seven are to subscribe Rs.50 each and the eighth man Rs. 70 more than the average of all the eight. Find how much did the eighth man subscribe?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Seven men agree with eighth man to subscribe a sum of money to a fund. The first seven are to subscribe Rs.50 each and the eighth man Rs. 70 more than the average of all the eight. Find how much did the eighth man subscribe?
:
Let x = amt the 8th man subscribed
:
total amt of the 1st seven = 7 * 50 = 350; average of all 8 = (x-70)
:
%28%28350%2Bx%29%29%2F8 = x - 70
:
350 + x = 8(x - 70)
:
350 + x = 8x - 560
;
350 + 560 = 8x - x
:
910 = 7x
x = 910%2F7
x = $130 amt subscribed by the 8th guy
:
:
Check solution:
%28350+%2B+130%29%2F8 = 60 which is 70 less than 130