Question

The admission fee at an amusement park is

\(1.50 for children and \)4.00 for adults. On a certain day,

2200 people entered the park, and the admission fees that

were collected totaled $5050. How many children and how

many adults were admitted?

Short answer

For the given admission fee problem the number of children admitted to the amusement park is 1500 and the number of adults admitted is 700.

Step-by-step solution

Step 1. Given information.

x = no. of children admitted to the amusement park.

y = no. of adults admitted to the amusement park.

Step 2. Write down the concept.

The admission fee for a child and an adult. We can write

1.5x + 4.00y = 5050 …….(1)

x + y = 2200 ……..(2)

Step 3. Determining the values

substituting in (1), we get,

1.50(2200 – y) + 4.00 = 5050

3300 – 1.50y + 4.00y = 5050

2.5y = 1750

y = 700

Substituting the value of y in (2), we get

x + 700 = 2200

x = 1500