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): You can put this solution on YOUR website!

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.

Answer by Edwin McCravy(20055)   (Show Source): 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.

What is the cost of each adult ticket?

Twice as much as $4.00 or $8.00. Edwin

Answer by MathTherapy(10552)   (Show Source): 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.
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.

4x + 4*10.50 = 3*(2x) + 3*10 4x + 42 = 6x + 30 42 - 30 = 6x - 4x 12 = 2x x = 12/2 = 6. Thus each student ticket price is 6 dollars. ANSWER. Each adult ticket price is 6*2 = 12 dollars. ANSWER

Solved.

RELATED QUESTIONS
1) Charles spent $3.70 for 22 stamps. If he only bought $0.15 stamps and $0.20 stamps,... (answered by jorel1380)
A local movie theater charges $12 for an adult ticket and $10 for a child's ticket. A... (answered by ikleyn)
hi math is not my best skill and i have tried and tried to get the correct answer for my... (answered by stanbon,MathLover1)
A local movie theater charges $12 for an adult ticket and $10 for a child�s ticket. A... (answered by TimothyLamb)
The movie theater charges $4 for each child ticket and $7 for each adult ticket. The art (answered by Greenfinch)
A group of 14 people spent $28 for admission tickets to Cinema Uno. The theater charges... (answered by greenestamps)
mr.santos treated his students to a movie for winning the state contest. this also... (answered by mananth,stanbon)
Ariel purchased x student tickets for $7 each and y adult tickets for $9 each at the... (answered by stanbon,Cromlix)
a teCher can spend as much as $125.00 to take students to a movie. A movie theater... (answered by ewatrrr)