Kraken and seven other pirates agreed to share a pile of gold pieces equally. Right before they divided up the gold, two more pirates showed up and demanded to be included, so the gold ended up getting divided among ten pirates instead. Kraken received 40 fewer pieces of gold than he would have if the two extra pirates hadn't arrived. How many pieces of gold did Kraken receive?

Respuesta :

Answer:  There are 200 pieces of gold Kraken will receive.

Explanation:

Since we have given that there are Kraken and seven other pirates agreed to share a pile of gold pieces equally.

Let the total amount of Gold pieces be x

So, Number of pieces Kraken received is given by

[tex]\frac{x}{8}[/tex]

Now, if two more pirates showed up and demanded to be included , so the gold ended up getting divided among ten pirates instead,

Then, Number of pieces Kraken received is given by

[tex]\frac{x}{10}[/tex]

According to question,

[tex]\frac{x}{8}-\frac{x}{10}=40\\\\\frac{5x-4x}{40}=40\\\\x=40\times 40\\\\x=1600[/tex]

So, Number of pieces of gold Kraken receive is

[tex]\frac{1600}{8}=200.[/tex]

Hence, there are 200 pieces of gold Kraken will receive.

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