4s+8.5a>=460
s+a<=79
s=53
4*53+8.5a>=460
212+8.5a>=460
8.5a>=248
a>=29.1765 --> 30
30+53 is 83, which is greater than 79, so this is not possible.
If 53 tickets were sold to students, it is not possible to meet the minimum amount of money the drama club needs to make. They need to either sell less tickets to the students, or have a larger venue.