Your class decided to raise money by sponsoring a play at the community school. Someone on your team pointed out that the school could benefit from the money and the students would benefit from the proceeds from the play. Attendees that aren't students from the school paid $4 per ticket. Students that are from the school paid $2. It was a roaring success since a total of $910 was collected from the sale of 328 tickets. The total number of seats in the Auditorium is 600.

Since all of the seats weren't full the principal from the school wanted to know how many students and how many 'visitors' bought tickets because the principal wanted to see if it made sense to broaden next year's advertising coverage and what some good balance of student to visitor ratios might be used for an estimate. The number of sold seats does not have to equal 600 (leftovers can be sold the at the event) however they cannot exceed 600. It is standard practice, but NOT a given, that the ratio of students to parents is usually about 1 student to 1.5 parents.

Can you figure out what the ratio of students to visitors based upon the above information actually was. Can you provide advice to the principal? This would include displaying the facts about the previous play data and then providing options for the principal to vary the number of students and visitors? Do this using the following:

1. Write out a simple description of what approach you plan on using to solve the dilemma.

2. Create a step by step algorithm using pseudo code or simple English that defines your approach in more detail. Make sure that the algorithm contains every step that will be required.

3. Develop a diagram that expresses how you will construct the logic for your solution from step 2.

4. You can allow the principal to alter the number of students and the cost for student and visitor tickets. You should then calculate the student/visitor ratio. You should also display all of the "revised" data factors so that the principal can make decisions about what to try next in terms of advertising with the best priced tickets and total funds earned. Note: this means that you would display the current value of the number of students, the cost for each type of ticket, and then return the results of all of the variables. You do not need to make the ratio alterable because it is a function of the number of students that the principal chooses.