Answer:
700 children and 1600 adults.
Step-by-step explanation:
Given:
The admission fee at a local zoo is $1.50 for children and $4.00 for adults.
On a certain day, 2300 people enter the zoo and $7,450.00 is collected.
Question asked:
How many children and how many adults attended?
Solution:
Let number of children enter the zoo = ![x](https://tex.z-dn.net/?f=x)
Then number of adults enter the zoo = ![2300-x](https://tex.z-dn.net/?f=2300-x)
Total collection = $7,450
Collection from children + Collection from adults = 7450
![1.50\times x+4(2300-x)=7450\\ \\](https://tex.z-dn.net/?f=1.50%5Ctimes%20x%2B4%282300-x%29%3D7450%5C%5C%20%5C%5C)
![1.5x+9200-4x=7450\\ \\ 2.5x+9200=7450\\ \\](https://tex.z-dn.net/?f=1.5x%2B9200-4x%3D7450%5C%5C%20%5C%5C%202.5x%2B9200%3D7450%5C%5C%20%5C%5C)
Subtracting both sides by 9200
![-2.5x+9200-9200= 7450-9200](https://tex.z-dn.net/?f=-2.5x%2B9200-9200%3D%207450-9200)
![-2.5x=-1750](https://tex.z-dn.net/?f=-2.5x%3D-1750)
Minus is canceled by minus.
![2.5x=1750](https://tex.z-dn.net/?f=2.5x%3D1750)
Dividing both sides 2.5
![x=700](https://tex.z-dn.net/?f=x%3D700)
Number of children enter the zoo =
= 700
Number of adults enter the zoo =
= 2300 - 700 = 1600
Thus, 700 children and 1600 adults attended the local zoo on that day.