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MAth (Ratio)

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Penny is a dentist. She took a survey of her patients to see which type of toothbrush they prefer. Her 50 male patients prefer electric toothbrushes to manual ones in a 3:2 ratio. Her 65 female patients prefer electric to manual in a 8:5 ratio. In all, her patients prefer electric toothbrushes to manual ones in what ratio?

  • MAth (Ratio) - ,

    male = 30 + 20 = 50
    female = 40 + 25 = 65
    total = 70 + 45 = 115
    so total electric:manual ratio is 70:45

    Where do those numbers come from?
    3:2 ratio is 5. 3/5 electric; 2/5 manual.
    Percent like = (3/5)*100 = 60% electric
    (2/5)*100 = 40% manual
    Then 0.6*50 total = 30 electric
    and 0.4*50 = 20 manual

    female total = 65
    ratio is 8:5 or 8/13 electric and 5/13 manual.
    percent electric = (8/13)*100 = about 61%.
    percent manual = (5/13)*100 = about 39%
    Total is 65 so
    0.61 x 115 = 40 electric
    0.39 x 115 = 25 manual

    male = 30 + 20 = 50
    female = 40 + 25 = 65
    total = 70 + 45

    ratio of elec/man is 70:45

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