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PROBLEM
The student council of Sta. Lucia High School needed Php. 2,250 for an annual trip. If 5 more members joined the group, each member would then save Php 5. How many students planned to make the trip?
The student council of Sta. Lucia High School needed Php. 2,250 for an annual trip. If 5 more members joined the group, each member would then save Php 5. How many students planned to make the trip?
Answers
Answered by
Damon
x = number of students
p = price of ticket
x p = 2250
(x+5)(p-5) = 2250
p = 2250/x
xp + 5 p - 5 x - 25 = 2250
xp + 5 p - 5 x - 2275 = 0
2250 + 11250/x - 5 x - 2275 = 0
11250 - 5 x^2 - 25 x = 0
x^2 + 5 x - 2250 = 0
(x+50) (x-45) = 0
x = 45
p = price of ticket
x p = 2250
(x+5)(p-5) = 2250
p = 2250/x
xp + 5 p - 5 x - 25 = 2250
xp + 5 p - 5 x - 2275 = 0
2250 + 11250/x - 5 x - 2275 = 0
11250 - 5 x^2 - 25 x = 0
x^2 + 5 x - 2250 = 0
(x+50) (x-45) = 0
x = 45
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