SOLUTION: A prize of $900 is to be shared between a certain number of people. If there were two more people in the group the prize money each person received would be reduced by $75.

Question 823695: A prize of
$900 is to be shared between a
certain number of people. If
there were two more people in
the group the prize money each
person received would be
reduced by $75. How many
persons were in the original
group?
Answer by josgarithmetic(39616) (Show Source): You can put this solution on YOUR website!
Let N = size of original group.

The 1-person share is dollars per person.
If two more people, then N+2 is the number of people to share. The 1-person share would be . That is a 75 dollar reduction, as ;

If you understand that analysis and understand and have no trouble accepting the highlighted equation, then certainly solving the equation is of much less trouble...
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