SOLUTION: A bus for school feild trip costs P624. Since the number of persons making the trip is 13 less the capacity of the bus, it costs P8 more per student than if the bus is filled. How

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Question 98434: A bus for school feild trip costs P624. Since the number of persons making the trip is 13 less the capacity of the bus, it costs P8 more per student than if the bus is filled. How many students are in the trip?
Found 2 solutions by edjones, wennie15:
Answer by edjones(7311) About Me  (Show Source):
You can put this solution on YOUR website!
Let x=capacity
cost/head(13 under)=cost/head(full)+8
624%2F%28x-13%29=%28624%2Fx%29%2B8
multiply x(x-13) times each side 624x=624x-8112%2B8x%5E2-104x
subtract 624x from each side. %2B8x%5E2-104x-8112=0
8%28x%5E2-13x-1014%29=0
Quadratic formula: x=39 and x=-26(extraneous)
39-13=26 students are in the trip (Ans.)
Check:
624/26=24
624/39=16
24-16=8
Ed

Answer by wennie15(8) About Me  (Show Source):
You can put this solution on YOUR website!
624%2F13=x%2B8
48=x+8
-x=-48+8
x=40