Answer:
Children attended x = 324
Adults attended y = 176
Step-by-step 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
The complete question is how many children and adults attended the event.
Answer:
324 children and 176 adults
Step-by-step 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
