Question

Mr. rivas bought 12 tickets to the high school drama production and spent $40. he purchased a combination of child tickets for $2 each & adult tickets for $6 each, write a system of equations to determine the number of child’s tickets (x) and adult tickets (y) he bought , the solve this system using any method you’d like.

Answer 1

x = 8, y = 4

This can also be written as an ordered pair: (8, 4)

Explanation:

First, set up a system of equations:

x + y = 12, $2x + $6y = $40

The first equation shows that there are a total of 12 tickets, and the other shows that the total of money for all the tickets adds to $40.

Then, solve by elimination by subtracting twice the first equation from the second to isolate y:

2x + 6y = 40

- (2x + 2y = 24)

0 + 4y = 16

And now we can solve for y:

4y = 16

y = 4

Then, put this back into the original equation to solve for x:

x + y = 12

x + 4 = 12

x = 8