## Wine bottles

Being **N** the number of bottles and **P** The price of each bottle we have:

N * P = 1000 => P = 1000 / N

**Take 4 bottles**

**Increases the price of the dozen by $ 100.00**

**(N-4)*** P +**((N-4) / 12) * 100**) = 1000

Putting N-4 into evidence:

(N-4) (P + 100/12) = 1000

(N-4) (1000 / N + 100/12) = 1000

(1000N-4000) / N + (100N-400) / 12 = 1000

Solving this equation comes the quadratic equation:

100N^{2} - 400N - 48000 = 0

Applying Bhaskara we find x = 24.

**Answer: THERE WERE 24 BOTTLES IN THE BOX**

Back to statement