The admission fee at an amusement park is $4.00 for children and $5.60 for adults. On a certain day, 323 people entered the park, and the admission fees collected totaled 1572 dollars. How many children and how many adults were admitted?

The answer to your question is 175 adults and 148 children

Step-by-step explanation:

Data

Cost for children = $4.00

Cost for adults = $5.60

Total number of people = 323

Total fees = $1572

children = c

adults = a

Process

1. - write equations to solve this problem

c + a = 323 Equation l

4c + 5.6a = 1572 Equation ll

2. - Solve by elimination

Multiply equation l by - 4

-4c - 4a = - 1292

4c + 5.6a = 1572

0 1.6a = 280

a = 280/1.6

a = 175

-Find c

c + 175 = 323

c = 323 - 175

c = 148

3. - Conclusion

There were 175 adults and 148 children