This question is all about creating enough equations to solve for the two variables (how many kids attended and how many adults attended). Because there are two unknowns, we'll need two equations. Let's call the amount of kids who attended K, and let's call the amount of adults who attended A. 110 people attended, so we know that A+K=110. Great! Now we only need one more equation. We know the price for an adult ticket and kid ticket, and we know the total amount made. The equation we can create from this information is 5.50A+3K=487.50. Now we have our two equations. We can solve them as we solve any system of equations, and the answer you'll get is that 63 adults attended and 47 kids attended.

Daniel S.
06/01/15