7.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

anonymous · Answer

a+s=150
a*45+28.5s=4770    
:D that is your system

anonymous · Answer

so how do you solve that equation to find out the answer? that's the problem im having. I know how to set it up but how to solve is the problem.

anonymous · Answer

that is easy part lol.
a+s=150
a*45+28.5s=4770    

well lets solve for a in eq 1
a=150-s

we plug it into  eq2

(150-s)*45+28.5s=4770    
now we solve for s
(150-s)*45+28.5*s=4770    
6750-45s+28.5*s=  4700   expand left side  particularly this (150-s)*45
6750-16.5s=4700    now we add like terms the  -45s+28.5*s
-16.5s =-2050       now we subtract 7550 from both sides
s=124.24          students looks odd tho se we will say 124 students

anonymous · Answer

a+124=150

a=150-124  = 26  adults