Answer:
20,000 children and 5,000 adults
Step-by-step explanation:
We will use:
x as the number of children.
y as the number of adults.
The cost of a ticket for children is $50, so the total revenue from children is 50x.
The cost of a ticket for adults is $75, so the total revenue from adults is 75y.
The total number of people is 25,000, so we have the equation:
x + y = 25000.
The total money gained is $1,375,000, so we have the equation:
50x + 75y = 1375000.
We can solve these two equations to find the values of x and y.
From the first equation, we can express x in terms of y:
x = 25000 − y
Substitute this expression for x into the second equation:
50(25000 − y) + 75y = 1375000
Now, solve for y:
1250000 − 50y + 75y = 1375000
25y = 125000
y = 5000
Now that we have found the value of y (the number of adults), we can find the value of x (the number of children) using the equation:
x = 25000 − y
x = 25000 − 5000
x = 20000
So, there were 20,000 children and 5,000 adults.
