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.

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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) About Me  (Show Source):
You can put this solution on YOUR website!
Let N = size of original group.

The 1-person share is 900%2FN dollars per person.
If two more people, then N+2 is the number of people to share. The 1-person share would be 900%2F%28N%2B2%29. That is a 75 dollar reduction, as highlight%28900%2FN-900%2F%28N%2B2%29=75%29;

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...