Answer: 188 children and 200 adults were admitted
Explanation:
Let x represent the number of children that were admitted.
Let y represent the number of adults that were admitted.
On a certain day, 388 people entered the park. It means that
x + y = 388
The admission fee at the amusement park is $2.00 for children and $6.80 for adults. The admission fees collected on that day totaled $1736. It means that
2x + 6.8y = 1736- - - - - - - - - - 1
Substituting x = 388 - y into equation 1, it becomes
2x + 6.8y = 1736
2(388 - y) + 6.8y = 1736
776 - 2y + 6.8y = 1736
- 2y + 6.8y = 1736 - 776
4.8y = 960
y = 960/4.8
y = 200
x = 388 - y = 388 - 200
x = 188