tickets of a program at college cost $3 for general admission or $2 with a student ID. If 181 people paid to see a performance and $435 was collected, how many of each ticket were sold?

Question

word problem, cannot figure out answer or method to answer

Answer 1

Let a be the number of general admissions and s be the number of student ID admissions. So a+s=181. We can write this as s=181-a.

Also, 3a+2s=435 considering the cost.

Substitute for s: 3a+2(181-a)=435.

3a+362-2a=435, a=435-362=73, so s=181-73=108.

CHECK 3*73+2*108=219+216=435 OK. So 73 general admission tickets and 108 student ID tickets were sold.