Question

partial credit is only considered if work is shown

1. define the variables (a.ei.2, 10 points)

the school that ming goes to is selling tickets to a play. on the first day of ticket sales the school sold 7 senior citizen tickets and 10 child tickets for a total of $183. the school took in $150 on the second day by selling 14 senior citizen tickets and 2 child tickets. what is the price each of one senior citizen ticket and one child ticket?
x =
and y =

Explanation:

Step1: Identify the variables

We need to define \( x \) and \( y \) based on the problem. The problem is about the price of senior citizen tickets and child tickets. Let's define \( x \) as the price of one senior citizen ticket and \( y \) as the price of one child ticket.

Step2: Verify the definition

From the problem, on the first day, 7 senior citizen tickets (so \( 7x \)) and 10 child tickets (so \( 10y \)) total to \$183. On the second day, 14 senior citizen tickets ( LXI2) and 2 child tickets ( LXI3) total to \$150. So defining \( x \) as the price of one senior citizen ticket and \( y \) as the price of one child ticket makes sense for setting up the equations.

Answer:

\( x = \) the price of one senior citizen ticket (in dollars) and \( y = \) the price of one child ticket (in dollars)