SOLUTION: A group of friends are renting a bus to attend a convention. The company charges a flat rate for a rental, regardless of the number of people using the bus. Fifteen people are plan

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A group of friends are renting a bus to attend a convention. The company charges a flat rate for a rental, regardless of the number of people using the bus. Fifteen people are plan      Log On


   

Question 1022990: A group of friends are renting a bus to attend a convention. The company charges a flat rate for a rental, regardless of the number of people using the bus. Fifteen people are planning on attending and want to split the cost evenly. If they get 9 more people they can reduce the cost of the rental by
$4.50 per person. How much does it cost to rent the bus?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+15+ = number of people renting bus
Let +c+ = the flat -rate cost to rent bus
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+c%2F%28+15+%2B+9+%29+=+c%2F15+-+4.5+
+c%2F24+=+c%2F15+-+4.5+
Multiply both sides by +24%2A15+
+15c++=+24c++-+4.5%2A15%2A24+
+9c+=+1620+
+c+=+180+
It costs $180 to rent the bus
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check:
+c%2F%28+15+%2B+9+%29+=+c%2F15+-+4.5+
+180%2F%28+15+%2B+9+%29+=+180%2F15+-+4.5+
+180%2F24+=+180%2F15+-+4.5+
+7.5+=+12+-+4.5+
+7.5+=+7.5+
OK