2.Salisbury High School decided to take their students on a field trip to a theme park. A total of 150 people went on the trip. Adults pay $45.00 for a ticket and students pay $28.50 for a ticket. How many students and how many adults went to the park if they paid a total of $4770?

Question

shane_b · Answer

It's another simultaneous linear equation problem.  First, set up the two equations.  Do you know how to do that?

anonymous · Answer

i dont want the answer, i just want to know how to set up the problem.

shane_b · Answer

I realize that...you start by creating the two equations.
$$x+y=150$$$$45x+28.5y=4770$$Do you see how that was obtained?

anonymous · Answer

try to see if this is correct set up:

45x+28.5y=4770 and x+y=150

You can rearrange equation two to get:

x=150-y

You can substitute this into equation one to get:

45(150-y)+28.5y=4770

Expand the brackets and simplify:

6750-45y+28.5y=4770
6750-16.5y=4770
-16.5y=-1980
16.5y=1980
y=120

This means there were 120 students on the trip.

x+y=150
x+120=150
x=30

anonymous · Answer

Yes shane, thank you. and thanks rasmus.

shane_b · Answer

I guess you got your answer anyway...if you don't understand any of the steps please ask.

anonymous · Answer

no problem mik.

anonymous · Answer

alright, and thanks again (: