Answer: number of children equals 124
number of adults equals 200
Step-by-step 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, 324 people entered the park. It means that
x + y = 324- - - - - - - - - - - 1
The admission fee at an amusement park is $2.50 for children and $5.40 for adults. The admission fees collected totaled $1390. It means that
2.5x + 5.4y = 1390- - - - - - - - - -1
Substituting x = 324 - y into equation 1, it becomes
2.5(324 - y) + 5.4y = 1390
810 - 2.5y + 5.4y = 1390
- 2.5y + 5.4y = 1390 - 810
2.9x = 580
x = 580/2.9
x = 200
x = 324 - y = 324 - 200
x = 124