The ratio of workers to supervisors and factories 32 to 2. The ratio of male workers to female workers is 6 to 5. If there are 80 female wor

Question

The ratio of workers to supervisors and factories 32 to 2. The ratio of male workers to female workers is 6 to 5. If there are 80 female workers at the plant how many supervisors are there

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Cora 2 weeks 2021-09-09T14:28:00+00:00 2 Answers 0

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    0
    2021-09-09T14:29:43+00:00

    Answer:

    11

    Step-by-step explanation:

    The ratio of male workers and female workers is 6 : 5

    Let the number of male workers is 6x and that of female workers is 5x.

    Given that there are 80 female workers in the plant.

    So, 5x = 80

    x = 16

    Therefore, the total number of workers in the plant is (6x + 5x) = 11x = (11 × 16) = 176.

    Now, the ratio of workers to supervisors in the factory is 32 : 2.

    Let the number of workers is 32y and number of supervisors is 2y.

    So, 32y = 176

    ⇒ y = 5.5

    So, 2y = 5.5 × 2 = 11  

    Therefore, there are 11 numbers of supervisors. (Answer)

    0
    2021-09-09T14:29:46+00:00

    Answer:

    The number of supervisor in the factory is 9 .

    Step-by-step explanation:

    Given as :

    The ratio of workers to supervisors and factories 32 : 2

    let the number of workers = 32 x

    And The number of supervisors = 2 x

    The ratio of male workers to female workers is 6:5

    Let The number of male workers = 6 y

    And The number of female worker = 5 y

    The number of female workers at the plant = 80

    So, 5 y = 80

    ∴  y = \frac{80}{5}

    I.e y = 16

    So, The number of male workers = 6 y = 6 × 16 = 96

    Thus The Total number of worker in the factory =  The number of male workers + The number of female workers at the plant

    Or, The Total number of worker in the factory = 96 + 80 = 146

    Now , Again

    ∵ The ratio of workers to supervisors in factories 32 : 2

    So, The number of workers = 32 x

    I.e 146 = 32 x

    ∴ x = \frac{146}{32} = 4.5

    So, The number of supervisors = 2 x = 2 × 4.5 = 9

    Hence The number of supervisor in the factory is 9 . Answer

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