SOLUTION: The cost of a museum trip was $120. The people who signed up for the trip were to split the cost equally. However, five people were absent that day, so that those who did go had

Question 752853: The cost of a museum trip was $120. The people who signed up for the trip were to split the cost equally. However, five people were absent that day, so that those who did go had to pay $2 more. How many people actually went to the museum?
Answer by dkppathak(439) (Show Source): You can put this solution on YOUR website!
let total people plan to trip is x
per head exp for trip was=120/x
actually 5 less people (x-5) reported for trip
per head contribution for trip will be =120/x-5
as per given conditions
120/x-5 +2 =120/x
2 =120/x -120/x-5
2=120(x-5)-120x/x(x-5)
2 = 120(x-5-x)/x^2-5x
2 = 120 multiplied by -5/x^2-5x
2x^2 -10x =-600
x^2 -5x = -300
x^2 -5x +300 =0
x^2-20x +15x+300 =0
x(x-20) +15(x-20) =0
(x-20) (x+15)
x-20=0 or x+15 =0
x=20 or x= -15
neglecting negative value
initial people plan for trip was 20
and actual people gone for trip was 15 ANSWER
RELATED QUESTIONS
The cost of a bus trip was $180. he people who signed up for the trip agreed to split the (answered by richwmiller)

A class is going on a trip to a museum. It costs $790790 to rent a bus. Each... (answered by Boreal)

Aaron and four of his friends want to schedule a 6-hour fishing trip on Lake Michigan... (answered by josgarithmetic)

Aaron and four of his friends want to schedule a 6-hour fishing trip on Lake Michigan... (answered by ankor@dixie-net.com)

The cost of a bus excursion was $180. This amount was to have been shared equally by all... (answered by mananth,stanbon)

A class is taking a trip to a museum. It costs 720$ to rent a bus. Each ticket to the... (answered by mananth)

The computer club went on a field trip to a computer museum. the trip cost $240 to be... (answered by longjonsilver)

The cost of hiring a bus for an outing was $240 and this was to be shared equally by X... (answered by josgarithmetic)

The cost of a trip is RM600. The cost for each member would be RM5 less if 10 non members (answered by mananth)