Problema Solution

Ali price out the cost of tickets to a game. The price of adult tickets and child tickets are different.If two adults go with four children, the ticket cost will be $64.00. If three adults go with five children, the cost will be $89.00. Find the cost of dult tickets and the cost of a child ticket.

Answer provided by our tutors

Ali price out the cost of tickets to a game. The price of adult tickets and child tickets are different.If two adults go with four children, the ticket cost will be $64.00. If three adults go with five children, the cost will be $89.00. Find the cost of dult tickets and the cost of a child ticket.

Let x - price of adult tickets

   y - price of child tickets

(2x + 4y = 64   ) 3         --->       6x + 12y = 192

(3x + 5y = 89  ) -2        --->       -6x  - 10y = -178

                                                         2y = 14

                                                          y = 7  price for child ticket

2x + 4(7) = 64

2x = 64 - 28

x = 18 price for adult ticket