Peter buys tickets for his family to see his favorite movie, Elephant Mistake. He pays $37.50 for 2 adult tickets and 2 student tickets. The next week he goes back with his friends and pays $35.25 for 1 adult ticket and 3 student tickets. Choose the system of equations that can be solved to find the price of an adult ticket, x, and the price of a student ticket, y.

the price of adult ticket and student ticket be $10.50 and $8.25 respectively

Step-by-step explanation:

Let us assume the price of adult ticket be x

And, the price of student ticket be y

Now according to the question

2x + 2y = $37.50

x + 3y = $35.25

x = $35.25 - 3y

Put the value of x in the first equation

2($35.25 - 3y) + 2y = $37.50

$70.50 - 6y + 2y = $37.50

-4y = $37.50 - $70.50

-4y = -$33

y = $8.25

Now x = $35.25 - 3($8.25)

= $10.5

Hence, the price of adult ticket and student ticket be $10.50 and $8.25 respectively