Question

A school concert has students tickets for $7 and nonstudents tickets for $12. If the school made $1973 selling 214 tickets? How many student tickets were sold? How many nonstudent tickets were sold?

Answer 1

Sample Response: Partial and negative tickets cannot be sold, so the minimum number values of e and s are 0. If s = 0, then e = 16, and if e = 0, then s = 20. Therefore, the values of s are whole numbers from 0 to 20 and the values of e are whole numbers between 0 and 16. The greatest number of student tickets sold was 20 and the greatest number of nonstudent tickets sold was 16.

Explanation:

Answer 2

119 student tickets and 95 non-student tickets

Explanation:

I did a trial-and-error solution.

I started with 107 students and 107 non-students:

(107*$7)+(107*$12) = $2033

It was too high, which tells us that there should be more who paid for the cheaper price.

I ended up with 119 and 95:

(119*$7)+(95*$12) = $1973