Question

The theater sells two types of tickets: adult tickets for $11 and child tickets for $4.

Last night, the theater sold a total of 282 tickets for a total of $2661. How many adult tickets did the theater sell last night?

Answer 1

Adult =219 ; Child = 63

Explanation:

Adult = a

Child = c

a + c = 282 ...(1)

11a + 4c =2661...(2)

(1) x 4 : 4a + 4c = 1128 (3)

(2)-(3): 7a = 1533

a = 1533/7

a = 219

a+c =282

219 + c =282

c =282 - 219

c= 63