During a seven - day period, 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, how many items produced by the company on the first day did the company consider acceptable ?

Options

A. `3,508`
B. `4,332`
C. `5,415`
D. `7,581`

Answer

D

Explanation

Always remember that percents can be expressed as fractions. The fraction of all the items that were considered acceptable was `(49, 812)/(49,812+21,348)=(49,812)/(71, 160)=(7)/(10)`.
Therefore, the fraction of the items produced on the first day that were acceptable must also have been `(7)/(10)`. To find the number of items that were acceptable, simply multiply the total amount produced on the first day by the fraction : `(7)/(10)(10,830)=7,581`. Thus, 7,581 items were produced on the first day that were considered acceptable.