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MATH

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Admission to a museum is $10 for each adult and $5 for each child. If a group oh 30 people pays a total of $175 in admission how many adults are in the group?

  • MATH - ,

    let x = number of adults
    let y = number of children

    There are 30 people in the group, so x+y = 30

    The total cost is $175, so 10x + 5y = 175

    10x + 5y = 175
    Divide by 5:
    2x + y = 35

    Now subtract the two equations:
    2x + y = 35
    x + y = 30
    x = 5

    Substitute x into one of the equations to find y.

    5 + y = 30
    y = 25

    Now plug both values into the other equation to check your work.

    2(5) + 25 = 35
    10 + 25 = 35
    35 = 35

    Your answers are correct.

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