Question

Disney held a breakfast for parents and their children to eat with Mickey mouse. adult tickets cost $17.95 and children's tickets cost $12.95. Disney made $7355 in ticket sales from a total of 500 people that attended. How Many adults and children were at the breakfast?​

Answer 1

The number of children attending = 324

The number of adults attending = 176.

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.