Answer:
-> a + c = 1250 ____________ (1)
-> 8a + 5c = 7300 __________(2)
There were 900 children and 350 adults.
Explanation:
Let the number of children at the carnival be c.
Let the number of adults at the carnival be a.
The admission fee at a carnival is $5 for children and $8 for adults on Friday.
1250 people attended the carnival and $7300 was collected. This means two things:
-> a + c = 1250 ____________ (1)
-> 8a + 5c = 7300 __________(2)
We now have a system of equations representing the problem.
To solve, make a subject of formula in (1):
a = 1250 - c _______(3)
Put (3) in (2):
8(1250 - c) + 5c = 7300
10000 - 8c + 5c = 7300
10000 - 7300 = 3c
3c = 2700
c = 2700 / 3 = 900
Put the value of c back in (3):
a = 1250 - 900 = 350
Therefore, there were 900 children and 350 adults at the carnival.