document.write( "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? \n" ); document.write( "

Algebra.Com's Answer #71635 by edjones(8007) $\"\"$ $\"About$

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Let x=capacity
\n" ); document.write( "cost/head(13 under)=cost/head(full)+8
\n" ); document.write( " $\"624%2F%28x-13%29=%28624%2Fx%29%2B8\"$
\n" ); document.write( "multiply x(x-13) times each side $\"624x=624x-8112%2B8x%5E2-104x\"$
\n" ); document.write( "subtract 624x from each side. $\"%2B8x%5E2-104x-8112=0\"$
\n" ); document.write( " $\"8%28x%5E2-13x-1014%29=0\"$
\n" ); document.write( "Quadratic formula: x=39 and x=-26(extraneous)
\n" ); document.write( "39-13=26 students are in the trip (Ans.)
\n" ); document.write( "Check:
\n" ); document.write( "624/26=24
\n" ); document.write( "624/39=16
\n" ); document.write( "24-16=8
\n" ); document.write( "Ed \n" ); document.write( "

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