Question

The admission ticket for Pat Pat Zoo is $1.50 for children and $4.00 for adults. On a certain day, 2200 people went to the zoo and $5050 was collected. How many children and how many adults went to the zoo that day?

Answer 1

1380 children and 820 adults went to the zoo that day

Explanation:

System of Equations

Define the following variables

x = number of children that went to the zoo

y = number of adults that went to the zoo

On a certain day, 2000 people went to the zoo, thus:

x + y = 2000

Solving for x:

x = 2000 - y [1]

The admission ticket is $1.50 for children and $4.00 for adults and that same day, $5050 was collected, then:

1.50x + 4y = 5050 [2]

Substituting x from [1]:

1.50(2000 - y) + 4y = 5050

Operating:

3000 - 1.50y + 4y = 5050

3000 + 2.5y = 5050

Subtracting 3000

2.5y = 5050 - 3000 = 2050

Dividing by 2.5

y = 820

From [1]

x = 2200 - 820 = 1380

1380 children and 820 adults went to the zoo that day