Question

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? The cost of each adult ticket is $__

Answer 1

Explanation

Step 1

Let x represents the cost for the students ticket

Let y represents the cost for the adult ticket

1)A group of 4 students went to the movie theater. They each bought a ticket for $x and spent $10.50 each on snacks

then

$\begin{gathered} \text{total}=4x+4(10.50) \\ total=4x+42 \end{gathered}$

2)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