It takes 10 workers to produce 39 parts in a month in that same time a machine can take 6 parts and produce 1 products which sell for $100 each. If you want to make $1000 worth of sells, how many workers are needed?
This isn't any chemistry I've seen.
You want to make $1000 in sales (Is that in 1 month?). At $100 each you must sell 10 to get the $1000.
The machine needs 6 parts for a product so you must have 10*6 = 60 parts.
10 workers can make 39 parts in a month so you need 60 parts x (10 workers/39 parts) = 15.38. Since you can't get a worker into 0.38 parts, it would take 16 whole workers. Check my thinking.
To solve this problem, we need to calculate the number of products needed to generate $1000 worth of sales and then determine how many workers are required to produce that quantity.
First, we need to find the number of products needed to reach $1000 in sales. Since each product sells for $100, we can divide $1000 by $100 to get the total number of products needed:
Number of products = $1000 / $100 = 10 products
Now, we know that the machine can produce 6 parts and assemble them into 1 product. Therefore, to produce 10 products, the machine needs to produce 10 * 6 = 60 parts.
In the given scenario, it takes 10 workers to produce 39 parts in a month. To find the number of workers required to produce 60 parts, we can set up a ratio:
Workers : Parts
10 : 39 = X : 60
Using cross-multiplication, we can solve for X:
10 * 60 = 39 * X
600 = 39X
X = 600 / 39 ≈ 15.38
So, approximately 15 workers would be needed to produce 60 parts.
Therefore, if you want to make $1000 worth of sales, approximately 15 workers are needed.