Question

Disney held a breakfast for parents and their children to eat with Mickey Mouse. Adult tickets cost $17.95 and children tickets cost $12.95. Disney made $7,355 in ticket sales from a total of 500 people that attended

Answer 1

The complete question is how many children and adults attended the event.

Answer:

324 children and 176 adults

Explanation:

Let's assume the number of kids at the event be "a"

And the number of parents at the event be "b"

The total number of kids and their parents at the event is 500

And for the children,their ticket costs $12.95 and the adults fee is $17.95 per person and the total fee received for all that attended is $7355.

This will lead to a simultaneous equation and we are going to use the substitution method to solve it.

a + b = 500 (first equation)

12.95a + 17.95b = 7355 (second equation)

From first equation, a= 500-b (apply this in equation 2)

12.95×(500-b) + 17.95b = 7355

Open up the bracket and we have:

6475-12.95b + 17.95b = 7355

Collect the like terms

5b= 880

b = 176

Therefore the number of adults that attended the event is 176.

Now substitute b= 176 in equation 1 (a + b = 500) and we have

a + 176 = 500

a = 500-176

a = 324

324 children attended the event

Answer 2

Children attended x = 324

Adults attended y = 176

Explanation:

Let call "x" number of children tickets or simply number of children

and "y" number of adult tickets, then

x + y = 500 and (1)

17.95*y + 12.95*x = 7355 (2)

As we can see we have a two equations system. We have to solve to get x, and y

Then from equation (1) y = 500 -x

and plugging this value in equation (2)

17.95* ( 500 - x ) + 12,95*x = 7355

9875 - 17.95*x + 12,95*x = 7355

8975 - 5*x = 7355

- 5*x = - 8975 + 7355

- 5*x = - 1620

x = 1620 / 5

x = 324 And y = 500 - 324 y = 176