SOLUTION: You have been tasked by your organization with taking a large group of children and adult chaperones to the amusement park for the day. Tickets to the amusement park cost $20 for c
Question 1137838: You have been tasked by your organization with taking a large group of children and adult chaperones to the amusement park for the day. Tickets to the amusement park cost $20 for children and $35 for adults. You purchased 108 tickets for a total of $2,655. How many children and how many adult tickets did you buy?
Let x = # of adult tickets, y = # of tickets.
From the condition, you have these 2 equations
x + y = 108 (1) (counting tickets)
35*x + 20*y = 2655 (2) (counting money)
From equation (1), express y = 108 - x and substitute it into equation (2), You will get
35x + 20*(108-x) = 2655.
Express x and calculate answer
x = = 33.
Then from equation (1), y = 108 - 33 = 75.
ANSWER. 33 adults tickets and 75 children tickets.
CHECK. 33*35 + 75*20 = 2655 dollars. ! Correct !
The problem solved using 2-equation setup and the Substitution method.
