algebra

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The ratio of adults to children at a holiday concert is expected to be 5 to 2. If 490 peole attend, approximately how many will be children? How many will be adults?
Thank you! Last problem and cant figure it out!

  • algebra -

    VARIABLES
    a = adults
    c = children
    p = people

    GIVENS
    a = (5/2)c
    p = a + c

    PLUG IN p&a, SOLVE FOR C
    490 = (7/2)c
    490 = (7/2)c
    c = 140

    SOLVE FOR A
    a = 490 - 140 = 350

    ANSWER
    140 children
    350 adults

  • algebra -

    let number of adults be 5x
    let number of children be 2x
    then 5x+2x = 490
    7x=490
    x=70
    so adults = 5x = 350
    children = 2x = 140

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