SOLUTION: A group of 4 students went to the movie theater. They each bought a ticket for $x and spent $10.50 each on snacks. A group of 3 adults went to the movie theater and paid twice as m
Question 1148571: A group of 4 students went to the movie theater. They each bought a ticket for $x and spent $10.50 each on snacks. A group of 3 adults went to the movie theater and paid twice as much for each of their tickets as each student. The group of adults also spent $10.00 each on snacks. The group of students spent the same amount as the group of adults. What is the cost of each adult ticket? Found 4 solutions by greenestamps, Edwin McCravy, MathTherapy, ikleyn:Answer by greenestamps(13200) (Show Source):
The wording of the problem is incorrect, or misleading. It says the students "each spent $10.50 on snacks", and then it says the adults "ALSO each spent $10.00 on snacks".
With the word ALSO in there, it seems those two amounts should be the same.
There is not much point in our trying to help you set up and/or solve the problem if we don't now for sure exactly what the problem is.
You can put this solution on YOUR website! A group of 4 students went to the movie theater.
They each bought a ticket for $x and spent $10.50 each on snacks.
They spent 4 times x dollars plus 4 times $10.50 or 4x+42 dollars.
A group of 3 adults went to the movie theater and paid twice as much for each of
their tickets as each student, or $2x. The group of adults also spent $10.00
each on snacks.
They spent 3 times 2x dollars plus 3 times $10.00 or 6x+30 dollars.
The group of students spent the same amount as the group of adults.
3x+42 = 6x+30
12 = 3x
4 = x <-- interpreted as $4.00 for student ticket.
You can put this solution on YOUR website!
A group of 4 students went to the movie theater. They each bought a ticket for $x and spent $10.50 each on snacks. A group of 3 adults went to the movie theater and paid twice as much for each of their tickets as each student. The group of adults also spent $10.00 each on snacks. The group of students spent the same amount as the group of adults. What is the cost of each adult ticket?
Cost of a student's ticket: $6
Cost of an adult's ticket: 2(6), or $12
Tutor EDWIN made a mistake. His equation should contain 4x + 42, instead of 3x + 42.