Question

A company produced $49,812$ items that it considered acceptable and $21,348$ items that it considered unacceptable. If the company produced a total of $10,830$ items on the first day and the percent of the items produced on the first day that the company considered acceptable was the same percent of items that the company considered acceptable for the entire seven-day period, find the number of items produced by the company on the first day that it considered acceptable.

• A. $3,508$
• B. $4,332$
• C. $5,415$
• D. $7,581$
• E. $8,664$

Answer 1

The correct option is D $7,581$

On entire seven day period, the items that are acceptable is $49,812$ and the items that are unacceptable is $21,348$.
So, the percent of acceptable items on a seven day period is $\frac{49812}{71160}$.
On the first day the total items produced are $10830$ and the percentage of acceptable items will be same.
So the number of acceptable items on first day is $\frac{49812}{71160}\times 10830=7581$.