Answer:
number of children ticket sold = 70
number of adult ticket sold = 70 × 3 = 210
number of student ticket sold = 500 - 4(70) = 500 - 280 = 220
Step-by-step explanation:
A local theater sells out their show. They sell all 500 tickets for a total of $7920 .00 . The total number of ticket sold is 500.
let
Number of children ticket sold = a
Adult ticket sold = 3a
Student ticket sold = 500 - 3a - a = 500 - 4a
Total cost = 7920
7920 = 12(a) + 15(500 - 4a) + 18(3a)
7920 = 12a + 7500 - 60a + 54a
collect like terms
7920 = 12a - 60a + 54a + 7500
7920 - 7500 = 6a
420 = 6a
divide both sides by 6
a = 420/6
a = 70
number of children ticket sold = 70
number of adult ticket sold = 70 × 3 = 210
number of student ticket sold = 500 - 4(70) = 500 - 280 = 220
