SOLUTION: a group of girls decided to go on a trip to the peach and the organization said that the bus would cost $280 to rent. the organizer also told them that if they got 4 more girls to

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: a group of girls decided to go on a trip to the peach and the organization said that the bus would cost $280 to rent. the organizer also told them that if they got 4 more girls to       Log On


   

Question 1152433: a group of girls decided to go on a trip to the peach and the organization said that the bus would cost $280 to rent. the organizer also told them that if they got 4 more girls to go on the trip each girl could pay $8 less (which they ended up doing) how many girls ended up going on the trip
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +n+ = original number going on trip
+n+%2B+4+ = number with 4 more girls
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+280+%2F+%28+n+%2B+4+%29+=+280+%2F+n+-+8+
multiply both sides by +n%2A%28+n+%2B+4+%29+
+280n+=+280%2A%28+n+%2B+4+%29+-+8%2An%2A%28+n+%2B+4+%29+
+280n+=+280n+%2B+1120+-+8n%5E2+-+32n+
+8n%5E2+%2B+32n+=+1120+
+n%5E2+%2B+4n+-+140+=+0+
+%28+n+%2B+14+%29%2A%28+n+-+10+%29+=+0+ ( by looking at it )
+n+=+10+ ( can't use the negative result )
and
+n+%2B+4+=+14+
14 girls went on the trip
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check:
+280+%2F+%28+n+%2B+4+%29+=+280+%2F+n+-+8+
+280+%2F+%28+10+%2B+4+%29+=+280+%2F+10+-+8+
+280+%2F+14+=+28+-+8+
+20+=+20+
OK