SOLUTION: A developmental project that was financed by an ecological organization amounted to 3.6 Million If there had been two more contributors and the expenses were shared equally,

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Question 942767: A developmental project that was financed by an ecological organization amounted to 3.6 Million If there had been two more contributors and the expenses were shared equally, it would have cost each organization 300,000 less. How many organizations contributed to the project? ( answer is 4 - show your solution )
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +n+ = number of contributors
+3.6%2A10%5E6++%2F+n+=+3.6%2A10%5E6+%2F+%28+n+%2B+2+%29+%2B+3%2A10%5E5+
Divide both sides by +10%5E5+
+3.6%2A10+%2F+n+=+3.6%2A10+%2F+%28+n+%2B+2+%29+%2B+3+
Multiply both sides by +n%2A%28+n%2B2+%29+
+36%2A%28+n%2B2+%29+=+36n+%2B+3%2An%2A%28+n%2B2+%29+
+36n+%2B+72+=+36n+%2B+3n%5E2+%2B+6n+
+3n%5E2+%2B+6n+-+72+=+0+
+n%5E2+%2B+2n+-+24+=+0+
+%28+n+%2B+6+%29%2A%28+n+-+4+%29+=+0+ ( by looking at it )
+n+=+-6+ ( can't use a negative answer )
+n+=+4+
4 organizations contributed to the project
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check:
+3.6%2A10+%2F+n+=+3.6%2A10+%2F+%28+n+%2B+2+%29+%2B+3+
+3.6%2A10+%2F+4+=+3.6%2A10+%2F+6+%2B+3+
+36%2F4+=+36%2F6+%2B+3+
+9+=+6+%2B+3+
+9+=+9+
OK