SOLUTION: a class went one a field trip. the cost for adults was $6 and students cost $2. the total cost was $72 and there were 26 people on the trip. how many adults and how many studens?

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Question 394550: a class went one a field trip. the cost for adults was $6 and students cost $2. the total cost was $72 and there were 26 people on the trip. how many adults and how many studens?
Answer by pie90010(44) About Me  (Show Source):
You can put this solution on YOUR website!
system of equations sir.
let a be number of adults
let s be number of students
6a + 2s = 72
a + s = 26
start by multiplying the second equation by -2, so you can cancel the S's
-2a + -2s = -52
6a + 2s = 72
now just add them up
4a = 20
a = 5
so now you know adults, just plug a into the original equation to get s
a + s = 26
5 + s = 26
s = 21
your final answer would be
21 students, 5 adults