Calculate Manufacturing Yield: 300 Daily Screws with Quality Control Deductions

Question

A hardware factory that manufactured screws for one entire week.

Every day there were 300 screws manufactured.

On the second day, 14 screws were defective and and had to be thrown away.

Similarly, on the fourth day 7 screws were thrown away, and on the fifth day 26 screws were thrown away.

How many good screws were manufactured that week?

Step-by-Step Solution

First, we calculate how many screws the factory produces in total in 7 days:

7×300=2100 7\times300=2100

Now we subtract the number of defective screws that we know the factory discarded on the second day:

210014=2086 2100-14=2086

Now let's count the number of defective screws that we know the factory discarded on the fourth day:

20867=2079 2086-7=2079

Now we record the number of defective screws that we know the factory discarded on the fifth day:

207926=2053 2079-26=2053

Answer

2053