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can u figure it out?


katielaguna

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3 friends decide to rent a motel room costing $30.if they divide it up evenly they would each pay $10. The manager decides to give $5 back. The bellboy thinks how am i going to divide evenly between 3 people so he puts 2 in his pocket and gives each one back a dollar. So each one end up paying $9 each. Well 3×9=27 and then add the 2 in bellboys pocket that would make $29..where did the other dollar go????

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hahaha. easy what we miss here after 25$ they paid also all extra 2 $ to bellboy A: they paid 25 + 2 dollars not 30.25 / 3 = 8.33 2 / 3 = 0.67 -> this is the point 8.33 + 0.67=9 9 x 3 =27 27+ 3= 30 they each pay 9 dollars :)

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What I see here is that the one dollar is lost in translation.

Let's look at it as if no mistake was made at the beginning. $25 would need to be split between three people. Those people each paid $9 to the manager. If they each pay $8 dollars, then they would be one dollar short. Now, the manager has $2 left. He can't give it back to them because then it would be uneven. So, he gives the bellboy the two dollars. 9 x 3 = 27. 27 - 2 = 25.

Now, we can go back to the original situation. You have three more dollars used. 27 + 3 equals 30. All three men payed $10. The bellboy gave three back. 30 - 3 = 27. Then the bellboy kept two. 27 - 2 = 25. When you have it as one dollar missing, you are only using the wrong equations. $30 was paid overall. $5 was then given back, making $25. In what you said above, it simplifies to you doing 30 - 3 + 2 = not 30. Different equations had to be used. 30 - 3 - 2 = 25, the original spent.

There is no extra dollar, because the total spent is 25, not 30.

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