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26 April, 09:59

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?

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  1. 26 April, 11:17
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    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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