Answer:180 adults were admitted.
Step-by-step explanation:
Let x represent the number of children that were admitted into the park.
Let y represent the number of adults that were admitted into the park.
The admission fee at the amusement park is $1.50 for children and $4 for adults.
The admission fees collected totaled 1,014.00 dollars. This means that
1.5x + 4y = 1014 - - - - - - - - - -1
On a certain day, 376 people entered the park. This means that
x + y = 376
Substituting x = 376 - y into equation 1, it becomes
1.5(376 - y) + 4y = 1014
564 - 1.5y + 4y = 1014
- 1.5y + 4y = 1014 - 564
2.5y = 450
y = 450/2.5 = 180
Substituting y = 180 into x = 376 - y, it becomes
x = 376 - 180 = 196
