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a pirate keeps 2/3 of his coins in a treasure chest and distributes the rest equally among three crew members. if each crew member receives 25 coins, how many coins did the pirate keep

User Chacha
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1 Answer

22 votes
22 votes

ANSWER:

150 coins

Explanation:

We know that of the total that the pirate initially had 2/3 I keep them in a chest and the rest he distributed, the rest corresponds to 1/3 of the total.

Now, if each one received 25 coins, and 3 three members, it means that 1/3 is equivalent to 3 times 25 coins, that is, 75 coins.

Now, if 1/3 is 75 coins, 2/3 proportionally would be:


\begin{gathered} (75)/((1)/(3))=(x)/((2)/(3)) \\ \text{ solving for x} \\ 225=(3x)/(2) \\ x=(225)/(3)\cdot2 \\ x=150 \end{gathered}

Which means that the pirate kept 150 coins in the chest

User Sahaquiel
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