Quandaries
and Queries 

I have a hard time setting up equations in word problems and just cannot ever really understand them. I see the highest level of school that you mentioned is twelth grade and I am in my first year of college, but it is a problem that a high schooler would probably do, too. My name is Christie and I am asking the question for myself so that I can understand this better. Here is the word problem. Sesame Street on Stage has different ticket prices for adults and for children under 6. Beth and her two children, ages 3 and 4, paid $15 to gain entrance, while Jamie and John Jacobs and their 2year old daughter got in for $19.50. What is the ticket price for adults? Thank you in advance
for your help 

Hi Christie, Think about having the tickets in your hand. For Beth you have 3 tickets, one adult and two children's tickets. The Jacobs also have three tickets, 2 adult and one child ticket. Suppose that the adult tickets cost $A each and the children's tickets cost $C each. You know what each family paid
These are the equations
Subtracting the first equation from the second gives
Thus an adult ticket costs $4.50 more than a children's ticket.Thus if the Jacobs paid $4.50 more they could have 3 adult tickets, and hence
and hence
Penny 

