SOLUTION: A group of students are on a tour. The total fare is $120 and this is to be shared equally among the students. If two more students join the tour, each will pay two dollars less. F

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A group of students are on a tour. The total fare is $120 and this is to be shared equally among the students. If two more students join the tour, each will pay two dollars less. F      Log On


   

Question 134726: A group of students are on a tour. The total fare is $120 and this is to be shared equally among the students. If two more students join the tour, each will pay two dollars less. Find the original number of students in the group.
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
120/X=120/(X+2)+2
120/X=(120+2[X+2])/X+2
120(X+2)=X(120+2X+4)
120X+240=120X+2X^2+4X
2X^2+120X-120X+4X-240=0
2X^2+4X-240=0
2(X^2+2X-120)=0
2(X-10)(X+12)=0
X-10=0
X=10 ANSWER FOR THE ORIGINAL NUMBER OF STUDENTS.
10+212 THE FINAL NUMBER OF STUDENTS.
PROOF
120/10=120/12+2
12=10+2
12=12