# How is this problem categorised?

I'm trying to find some online questions and training material related to this sort of question. It's not something that I can identify the name of:

A raffle has these prizes (ending 00 @ £12, ending 5 at £1.5), and tickets cost 50p. If all the winning tickets from 750 are sold (and some non-winning tickets), the total profit is £650. How many non-winning tickets were sold?

The solution goes along the lines of

1. calculate total winning tickets
2. calculate total prize money from #tickets
3. calculate total revenue
4. calculate total # tickets
5. subtract willing tickets

I understand how to solve this specific problem, but is it a standard type of question, or just a one-off type of question? I'm hoping that there is a simple strategy for explaining this sort of question.

• Is there any information missing from the sample question you posted? It would be helpful to see the entire thing. With the current information I would guess that this is a "solving a system of equations" type word problem. – Gareth Shepherd May 30 '17 at 20:51
• Probably not any named category of problem. Just adding and multiplying (or rather, their inverses). – Daniel R. Collins May 30 '17 at 21:05
• I agree with Gareth, this sounds like a system of equations word problem but it's hard to tell for sure without seeing the entire thing. – user6648 May 31 '17 at 14:49
• I agree with Gareth Shepherd and tilper --- it's an application of simultaneous linear equations problem at the high school level. – Dave L Renfro May 31 '17 at 15:39
• @SeanHoulihane I mean that I literally do not understand the phrasing; of course, I cannot say anything substantive about "finding more similar questions" without grasping the original problem. I do not mean to be dense, pedantic, etc: But I do not understand the problem in its earlier or edited phrasing, and, therefore, I do not know how to solve it or how to address related questions. – Benjamin Dickman Jun 9 '17 at 21:33