Question

the movie theater is showing the movie trolls. they charge $5 per ticket for a child and $12 per ticket for an adult. they sell a total of 342 tickets and make a total of $2550. how many of each type of tickets did they sell?

Answer 1

a + c = 342...a = 342 - c
12a + 5c = 2550

12(342 - c) + 5c = 2550
4104 - 12c + 5c = 2550
-12c + 5c = 2550 - 4104
-7c = - 1554
c = -1554/-7
c = 222

a + c = 342
a + 222 = 342
a = 342 - 222
a = 120

adult tickets sold (a) was 120, child tickets sold (c) was 222