Question

Angela and Tyler are selling tickets for a charity football game. Students will get a discount for the game. Angela sells 6 adult ticket and 10 student ticket for $122. Tyler sells 11 adult tickets and 5 student tickets for a total of $157. What is the of an adult ticket and what is the price of a student ticket?

A, Define your varibles and write a system of equations that represents the ticket sales for both Angela and Tyler.
let x=
Let y=
system of equation:

B' Solve system of equation

c' Write answer using a complete sentence.

Answer 1

Answer:

Step-by-step explanation:

Let’s say that the price of an adult ticket is x and a student ticket is y.

we know that 6 adult tickets (6x) and 10 student tickets (10y) equal 122, so 6x+10y=122. Then, 11x+5y=157

6x+10y=122

11x+5y=157

Multiply the first equation by -1/2 and add it to the second to cancel out the y

8x=96

x=12

Plug this back in to equation 2 to find y

132+5y=157

y=5

Checking this with the first equation, it all works out.

The price of an adult ticket for a charity football game is $12, while the price for a student ticket for the same game is $5