Question

Eleanor has a restaurant called the Shrimp Shack. She has 35,000 shrimp in the stockroom. Every 3 days she loses 15% of her stock. How many shrimp would be left in her stockroom after 2 full weeks? Round your answer to the nearest whole shrimp.

Answer 1

Answer:

After two full weeks the number of shrimps that would be left in her stockroom is;

$10,500$

Explanation:

Given that the inital amount of shrimps in the stockroom is;

$35,000$

And Every 3 days she loses 15% of her stock.

Let n represent the number of days after the initial day.

And A represent the amount of shrimps in the stockroom after n days;

$\begin{gathered} A=35000-0.15(\frac{n}{3})(35000) \\ A=35000-0.05n(35000) \\ A=35000-1750n \end{gathered}$

For two full weeks;

$n=2\times7=14\text{ days}$

substituting n = 14 into the equation;

$\begin{gathered} A=35000-1750n \\ A=35000-1750(14) \\ A=35000-24500 \\ A=10,500 \end{gathered}$

Therefore, After two full weeks the number of shrimps that would be left in her stockroom is;

$10,500$