Answer:
1380 children and 820 adults went to the zoo that day
Step-by-step 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
