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Math (Algebra)

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The ratio of men to women in the applicants for Lamborghini this year is 4:3, while the ratio of men to women in the successful applicants is 5:3, and the ratio of men to women in the rejected pile is 1:1. If the number of successful applicants is 176, what is the number of applicants?

  • Math (Algebra) - ,

    make a chart, consisting of 3 columns and 2 rows

    label the columns , (M)ale (F)emale (A)pplicants
    and the rows, (S)uccess and (F)ailure

    --- M- F-- A
    S - 5x 3x 8x
    F - y .. y .. 2y

    given:
    "the number of successful applicants is 176"
    ---> 8x = 176
    x = 22

    "The ratio of men to women in the applicants for Lamborghini this year is 4:3"
    ---> 8x/2y = 4/3
    8y = 24x
    y = 3x = 66

    number of applicants = 8x + 2y = 176 + 132 = 308

    CHECK:

    successful males = 110
    successful females = 66
    for a total of successful applicants of 176 ✔

    failing males = 66
    failing females = 66

    total male app = 110 + 66 = 176
    total female app = 66 + 66 = 132

    male appl : female app = 176 : 132 = 4:3 ✔
    ratio of succ males : succ females = 110 : 66 = 5:3 ✔

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