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Math Help - Gcf/lcd

  1. #1
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    Gcf/lcd

    In a clothing factory, a worker can sew 18 garment A seams in a minute and 30 garment B seams in a minute. If the factory manager wants to complete equal numbers of garments A and B every minute, how many workers should she hire for each type of garment? Give three different possibilities, and find the smallest number of workers the manager could hire.
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  2. #2
    MHF Contributor chiph588@'s Avatar
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    Quote Originally Posted by ihavvaquestion View Post
    In a clothing factory, a worker can sew 18 garment A seams in a minute and 30 garment B seams in a minute. If the factory manager wants to complete equal numbers of garments A and B every minute, how many workers should she hire for each type of garment? Give three different possibilities, and find the smallest number of workers the manager could hire.
    If we have  x workers for garment A and  y workers for garment B and if they have the same output, then  18x=30y \implies \frac{x}{y} = \frac53.

    What's the smallest  x and  y that satisfies this?
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  3. #3
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    So for every 3 garment B workers, there needs to be 5 garment A workers?

    8 would be the minimum amount of workers?

    then for the 3 possibilities could i just go

    5A and 3B
    10A and 6B
    15A and 9B

    ???
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  4. #4
    MHF Contributor chiph588@'s Avatar
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    Quote Originally Posted by ihavvaquestion View Post
    So for every 3 garment B workers, there needs to be 5 garment A workers?

    8 would be the minimum amount of workers?

    then for the 3 possibilities could i just go

    5A and 3B
    10A and 6B
    15A and 9B

    ???
    Correct!
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