SOLUTION: # of kids all pay same amount to go on trip Amount is 1800 total Now 6 kids can't go Those 6 all got money back Now remaining kids have to pay 10 dollars more How many kids

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Question 377402: # of kids all pay same amount to go on trip
Amount is 1800 total
Now 6 kids can't go
Those 6 all got money back
Now remaining kids have to pay 10 dollars more
How many kids are going on the trip?
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
Let x +6 = original number of kids. So x = remaining number of kids after 6 left.
Then 1800%2Fx+-+1800%2F%28x%2B6%29+=+10,
or
180%2Fx+-+180%2F%28x%2B6%29+=+1, or
0+=+x%5E2+%2B+6x+-+1080, after simplification.
(x-30)(x+36) = 0.
Thus there are x = 30 kids going to the trip.