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

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

`10,500`

Step-by-step 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((n)/(3))(35000) \\ A=35000-0.05n(35000) \\ A=35000-1750n \end{gathered}`

For two full weeks;

`n=2*7=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`