.
How to solve this problem
Johnson family bought 4 adult tickets and 2 child tickets for a total of $37 to the movies. And the Gonzalez family bought 3 adult tickets and 4 child tickets for a total of $39. What is the price of each type of ticket(adult and child) at this movie theater
--------------------------------------------------------
From the condition, you have this system of two equations:
4a + 2c = 37, (1)
3a + 4c = 39. (2)
where unknowns a and c are the ticket costs for adult and children respectively.
To solve it, multiply equation (1) by (-2) (both sides) and then add to the equation (2). You will get
-8a + 3a = -2*37 + 39, or
-5a = -35.
Therefore, a = = 7 dollars is the price for the adult ticket.
Now try yourself to complete the solution.