Wroking with fractions

I need help with a math problem  it is:

Mark works as a quality control expert in a beverage factory. The assembly line that he works on produces 20,000 bottles in 24-hour period. Mark samples about 120 bottles an hour and rejects the line if he finds more than 1/50 of the sample to be defective.

About how many defctive bottles should Mark allow before rejecting the entire beverage line?

I started the problem:

20,000/24hr

120samples/hr=120 samples x 24hr = 2,880 samples/24hrs

if more than 1/50 of the 2,800 samples is defective then the line is shut down.

I am stuck on what to do next.....

 

alec's picture

What kind of beverages?

That depends on what kind of beverages they produce. Personally, I, probably, could sample 2 bottles of some beverages per minute (Edit: not easily, I should say, after few experiments), but 120 per hour seem like too high a goal to achieve. That would require a lot of training. Looks like a nice job though. Do they hire?

Alec

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