Answer:
The number of children attending = 324
The number of adults attending = 176.
Step-by-step explanation:
Here, the total number of people attending = 500
Let us assume the umber of children attending the breakfast = m
So, the number of adults attending the breakfast = 500 - m
Cost of ticket for each children = $12.95
So, the cost of m children's tickets = m x ( Cost of 1 children ticket)
= m x ( $12.95) = 12.95 m .... (1)
Cost of ticket for each adult = $17.95
So, the cost of (500 -m) adults's tickets
= (500 - m) x ( Cost of 1 adult ticket) = (500 -m) x ( $17.95)
= 8,975 - 17.95 m .... (2)
Now, the total earnings from the total ticket sold = $7355
So, The earning from ( Adult's + children's tickets) = $7355
⇒ 12.95 m + 8,975 - 17.95 m = $7355
or, - 5 m = 7355 - 8975 = -1620
or, m = 1620/5 = 324
⇒ m =324
Hence the number of children attending = m = 324
The number of adults attending = 500 - m = 500 - 324 = 176.
