document.write( "Question 119284: The student council of Sta. Lucia High School needed $2,250 for an annual trip. If five more members joined the group, each member would then save $5. How many students planned to make the trip? \n" ); document.write( "

Algebra.Com's Answer #87365 by Fombitz(32388) $\"\"$ $\"About$

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Let N be the number of students originally going.
\n" ); document.write( "Let P be the per-person cost of the trip.
\n" ); document.write( " $\"2250%2FN=P\"$
\n" ); document.write( " $\"2250%2F%28N%2B5%29=P-5\"$
\n" ); document.write( " $\"2250%2F%28N%2B5%29=2250%2FN-5\"$
\n" ); document.write( " $\"2250N=2250%28N%2B5%29-5N%28N%2B5%29\"$
\n" ); document.write( " $\"2250N=2250N%2B11250-5N%5E2-25N\"$
\n" ); document.write( " $\"0=-5N%5E2-25N%2B11250\"$
\n" ); document.write( " $\"N%5E2%2B5N-2250=0\"$
\n" ); document.write( " $\"%28N%2B50%29%28N-45%29=0\"$
\n" ); document.write( "N must be positive
\n" ); document.write( " $\"N=45\"$
\n" ); document.write( "Originally 45 students planned to take the trip, costing $50 each.
\n" ); document.write( "Now 50 students are taking the trip, costing $45 each or $5 less. \n" ); document.write( "

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