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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?

Respuesta :

joseaaronlara

Answer:

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

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