SOLUTION: 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

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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?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let N be the number of students originally going.
Let P be the per-person cost of the trip.
2250%2FN=P
2250%2F%28N%2B5%29=P-5
2250%2F%28N%2B5%29=2250%2FN-5
2250N=2250%28N%2B5%29-5N%28N%2B5%29
2250N=2250N%2B11250-5N%5E2-25N
0=-5N%5E2-25N%2B11250
N%5E2%2B5N-2250=0
%28N%2B50%29%28N-45%29=0
N must be positive
N=45
Originally 45 students planned to take the trip, costing $50 each.
Now 50 students are taking the trip, costing $45 each or $5 less.