Question 1144151
<br>
This is  classic kind of problem for teaching students how to solve problems using algebra.  Another tutor has shown you one way to set up the problem to solve using algebra.<br>
Here is a method for solving any of these kinds of "mixture" problems that uses only logical reasoning and some simple arithmetic.  If you understand how to use it, it will get you to the answer much faster and with far less work than an algebraic solution.<br>
And if your mental arithmetic is good, you won't need pencil and paper to solve the problem.<br>
Here is the process for this problem.<br>
(1) 500 tickets all at ghc3 would bring in ghc1500; 500 all at ghc5 would bring in ghc2500.  The actual total was ghc2300.<br>
(2) ghc2300 is 4/5 of the way from ghc1500 to ghc2500.  (Picture the three numbers 1500, 2300, and 2500 on a number line; 2300 is 4/5 of the way from 1500 to 2500.)<br>
(3) That means 4/5 of the tickets were the higher price adult tickets.<br>
ANSWER: 4/5 of the 500 tickets, or 400 tickets, were adult tickets at ghc5 each.