SOLUTION: The student council of Sta. Luucia needed 2,250 for an annual trip. If 5 more members joined the group, each member would then save 5. How many students planned to make the trip?

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Question 630715: The student council of Sta. Luucia needed 2,250 for an annual trip. If 5 more members joined the group, each member would then save 5. How many students planned to make the trip?
Answer by lwsshak3(11628) About Me  (Show Source):
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The student council of Sta. Luucia needed 2,250 for an annual trip. If 5 more members joined the group, each member would then save 5. How many students planned to make the trip?
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let x= number of students planned to make the trip
2250/x=members cost for trip
2250/(x+5)=members cost for trip if 5 more members joined
..
2250%2Fx-2250%2F%28x%2B5%29=5
LCD:x(x+5)
2250(x+5)-2250x=5x(x+5)
2250x+11250-2250x=5x^2+25x
5x^2+25x-11250=0
x^2+5x-2250=0
(x+50)(x-45)=0
x=-50 (reject, x>0)
or
x=45
number of students planned to make the trip=45