500 seat auditorium to generate 1,600 in tickets sales. They decide to set the price at $2 for children. If the ratio of children to adults at museum activities is generally 3:2, what price should be set for adult tickets?
number of children --- 3x
number of adults ----- 2x , notice 3x : 2x = 3:2
3x+2x = 500
x = 100
so we would have 300 children and 200 adults
price of adult ticket ---- x
300(2) + 200x = 1600
solve for x