Question

The theater sells three types of tickets: general admission, senior citizen, and child. Mark bought 9 general admission, 2 senior citizen, and 3 child tickets and paid $170.sarah bought 5 general admission, 4 senior citizen and 7 child tickets and paid $173. Kyle bought 4 general admission, 1 senior citizen, and 6 child tickets and paid $116.50. if the 1st 2 equations are Eq. 1 9x + 2y + 3z = $ 170 Eq. 2 5x + 4y + 7z = $ 173 Then the 3rd equation should be .

Answer 1

Kyle's purchase of 4 general admission, 1 senior citizen, and 6 child tickets for $116.50 is represented by the equation: 4x + 1y + 6z = $116.50.

Step-by-step explanation:

The student is attempting to solve a system of linear equations where x represents the price of a general admission ticket, y represents the price of a senior citizen ticket, and z represents the price of a child ticket. With the information provided for the purchases made by Mark and Sarah, we have two equations from their transactions. Now, we need to write the third equation based on Kyle's purchase.

Kyle bought 4 general admission tickets, 1 senior citizen ticket, and 6 child tickets for a total of $116.50, so the third equation representing Kyle's transaction is: 4x + 1y + 6z = $116.50.