Question

The admission fee at an amusement park is $45 for children and $60 for adults. On a certain day, 2400 people entered the park and the admission fees collected totaled $120,000. How many children and how many adults were admitted?

Answer 1

To solve this problem, set up a system of equations and solve for the number of children and adults admitted.

Step-by-step explanation:

To solve this problem, we can set up a system of equations where x represents the number of children and y represents the number of adults:

x + y = 2400

45x + 60y = 120000

From the first equation, we can solve for x:

x = 2400 - y

Substituting this into the second equation, we can solve for y:

45(2400 - y) + 60y = 120000

108000 - 45y + 60y = 120000

15y = 12000

y = 800

Substituting the value of y back into the first equation, we can solve for x:

x + 800 = 2400

x = 1600

Therefore, there were 1600 children and 800 adults admitted.