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?

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) (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
RELATED QUESTIONS
i need help solving system of linear equations and inequalities the word problems ... ok... (answered by dabanfield)

1.)the sum of 2 numbers is 48 and their difference is 24. what are the numbers 2.)a... (answered by solver91311)

You are part of the group taking a tour of the cave. tour cost six dollars for adults and (answered by macston)

At a skating rink, students pay $.75 admission and adults pay $1.25. For one night, the... (answered by checkley77)

A group of students is on a sightseeing tour. The total fare is $120 and this is to be... (answered by JulietG,josgarithmetic)

A group of students is On a sightseeing tour. The total fare is $120 . And this is to be (answered by ikleyn)

A group of students is on sightseeing tour. The total fare is $120 and this is to be... (answered by ewatrrr)

The jazz band sold tickets for a concert. Adults paid $10 apiece, students paid $5 apiece (answered by stanbon)

a total of 120 adults and students attend a school volleyball game. each adult paid 2.50, (answered by mananth)