Julio works as a quality control expert in a beverage
factory. The assembly line that he monitors produces about 20,000 bottles in a24-hour period. Julio 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 defective
bottles should Julio allow before rejecting the entire line?
I think this is a division problem and how would I start this?
1/50 * 120 = 120/50 = 2 2/5
He should reject the line when he finds 3 defective bottles.
so it is multiplication problem?
Yes. In this kind of construction, a fraction of something is a multiplication problem.
Think of 1/2 of 10. You know it's 5.
1/2 * 10 = 10/2 = 5
thank you
You're welcome.
To solve this problem, we need to calculate the maximum number of defective bottles that Julio should allow before rejecting the entire line.
First, let's find out how many bottles Julio samples in a 24-hour period. We know that he samples about 120 bottles per hour, so in 24 hours, he would sample 120 x 24 = 2,880 bottles.
Next, let's calculate the threshold for defective bottles that Julio can tolerate. We are given that he rejects the line if he finds more than 1/50 of the sample to be defective. To calculate this, we divide the number of bottles in the sample by 50:
Threshold for defective bottles = 2,880 / 50 = 57.6
Since we can't have a fraction of a defective bottle, we round up to the nearest whole number. Therefore, Julio should allow up to 58 defective bottles before rejecting the entire line.