Answer: 144 children and 170 adults were admitted.
Step-by-step explanation:
Let x represent the number of children that were admitted.
Let y represent the number of adult that were admitted.
On a certain day, 314 people entered the park. This means that
x + y = 314
The admission fee at an amusement park is $5.00 for children and $6.00 for adults. The admission fees collected totaled $1,740.00 dollars. This means that
5x + 6y = 1740 - - - - - - - - - - - - -1
Substituting x = 314 - y into equation 1, it becomes
5(314 - y) + 6y = 1740
1570 - 5y + 6y = 1740
- 5y + 6y = 1740 - 1570
y = 170
x = 314 - y = 314 - 170
x = 144
