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 = [tex]x[/tex]
Then number of adults enter the zoo = [tex]2300-x[/tex]
Total collection = $7,450
Collection from children + Collection from adults = 7450
[tex]1.50\times x+4(2300-x)=7450\\ \\[/tex]
[tex]1.5x+9200-4x=7450\\ \\ 2.5x+9200=7450\\ \\[/tex]
Subtracting both sides by 9200
[tex]-2.5x+9200-9200= 7450-9200[/tex]
[tex]-2.5x=-1750[/tex]
Minus is canceled by minus.
[tex]2.5x=1750[/tex]
Dividing both sides 2.5
[tex]x=700[/tex]
Number of children enter the zoo = [tex]x[/tex] = 700
Number of adults enter the zoo = [tex]2300-x[/tex] = 2300 - 700 = 1600
Thus, 700 children and 1600 adults attended the local zoo on that day.
