SOLUTION: One week a syndicate of x people won $1000 in a lottery. If there had been two fewer people in the syndicate, each person would have received $25 more. How many people are in the

Question 1086339: One week a syndicate of x people won $1000 in a lottery. If there had been two fewer people in the syndicate, each person would have received $25 more. How many people are in the syndicate?

Found 2 solutions by Fombitz, youngalabama:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
So they won, each.
If there were 2 fewer,

Only positive x values make sense in this problem,

.
.
.
10 people all together.

Answer by youngalabama(1) (Show Source): You can put this solution on YOUR website!
y = total prize
y = 1025(x-2)
1000x = y
1000x = 1025(x-2)
1000x = 1025x - 2050
-25x = 2050
x = 82
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