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nydimaria [60]
3 years ago
7

A group of girls decided to go on a trip and the organizer said that the bus would cost 360$ to rent. The organizer also told th

em that if they got 3 more girls to go on the trip each girl could pay 6$ less. How many girls ended up going
Mathematics
1 answer:
IgorLugansk [536]3 years ago
8 0
Let x is number of girls going (x>0).
Since the bus cost 360, each of them paid: \frac{360}{x}
If they got 3 more, each would pay: \frac{360}{x+3}
According to statement:\frac{360}{x} - 6 = \frac{360}{x+3}
⇒(360 - 6x)(x+3) = 360x
⇒360x - 6x^2 +3*360 -18x = 360
⇒6x^2 + 18x - 3*360 = 0
⇒6(x-12)(x+15) = 0
⇒x = 12 (because x > 0)
Thus, 12 girls went.

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