# Math Help - Gcf/lcd

1. ## 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.

2. Originally Posted by ihavvaquestion
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?

3. 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

???

4. Originally Posted by ihavvaquestion
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!