Answer:
325 adult tickets were sold
Step-by-step explanation:
Given:
The adult tickets cost = $8
The children's tickets cost = $5
Total tickets sold = 500
Total revenue from tickets sold = $3475
To find:
the number of adult tickets sold
Let the number of adult tickets = a
the number of children's tickets = c
Total tickets:
a + c = 500 . . (1)
The cost of the tickets:
a(8) + c(5) = 3475
8a + 5c = 3475. . .(2)
Using substitution method:
from equation, a = 500 - c
substitute for a in (2):
8(500 - c) + 5c = 3475
4000 - 8c + 5c = 3475
4000 - 3c = 3475
525 = 3c
c = 525/3
c = 175
To get a, we will substitute for c in (1):
a + 175 = 500
a = 500 - 175
a = 325
Hence, 325 adult tickets were sold