Admission to a zoo costs $10 for adults and $6 for children. A group of 29 people attending the zoo paid a total of $222 in admission fees.<

Question

Admission to a zoo costs $10 for adults and $6 for children. A group of 29 people attending the zoo paid a total of $222 in admission fees.

Write a system of equations to represent the situation. Let a represent the number of adult admissions, and let c represent the number of child admissions.
Solve the system you wrote in part (a) using the substitution method. Show your work.
Interpret your solution in the context of the problem.

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Sarah 3 weeks 2021-11-20T17:01:12+00:00 1 Answer 0 views 0

Answers ( )

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    2021-11-20T17:03:01+00:00

    Answer:

    The number of adult admissions was 12 and the the number of child admissions was 17

    Step-by-step explanation:

    Let

    a —-> represent the number of adult admissions

    c —-> represent the number of child admissions

    we know that

    A group of 29 people attending the zoo paid a total of $222 in admission fees

    so

    a+c=29

    a=29-c —-> equation A

    10a+6c=222 —-> equation B

    Solve using the substitution method

    substitute equation A in equation B

    10(29-c)+6c=222

    solve for c

    290-10c+6c=222\\4c=68\\c=17

    Find the value of a

    a=29-17=12

    therefore

    The number of adult admissions was 12 and the the number of child admissions was 17

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