SOLUTION: in a tour 2 adults and 5 students paid $77 and in other van 2 adults and 7 students paid $95 for the same tour.find adults price and student price?

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Question 382860: in a tour 2 adults and 5 students paid $77 and in other van 2 adults and 7 students paid $95 for the same tour.find adults price and student price?
Answer by mathitutor(25) About Me  (Show Source):
You can put this solution on YOUR website!
Say, adults price = x
and student price = y
Then
2x + 5y = 77 --- (1)
2x + 7y = 95 --- (2)
(2) - (1) =>
7y - 5y = 95 -77
2y = 18
y = $9 ---(3)
placing y's value in (1)
2x + 45 = 77
2x = 32
x = $16 ----(4)
(3) and (4) are the answers