Question

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?

Answer 1

The answer to your question is 175 adults and 148 children

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