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An arithmetic teaser

An arithmetic teaser

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Old Aug 29th 2016, 2:52 am
  #16  
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Default Re: An arithmetic teaser

Originally Posted by spuddyo
So three builders decide they are going to buy a radio for $30 and put in $10 each. They send the apprentice to buy it, but when he gets to the shop there's a sale on, $25 instead of $30. He pays the money and decides to keep some for himself, he decides $2 for himself and a dollar each change for the builders.

So the builders end up paying $9 each, the apprentice has taken $2 for himself. 3 x9 = 27, + 2 = 29. Where's the other dollar gone ?
$25 + $2 = $9 x 3
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Old Aug 29th 2016, 2:57 am
  #17  
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Default Re: An arithmetic teaser

Its how you tell the story, it is mixing debits and credits together.
Outs: 9+9+9=27
Ins: 25+2=27
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Old Aug 29th 2016, 8:43 am
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Default Re: An arithmetic teaser

Originally Posted by spuddyo
So three builders decide they are going to buy a radio for $30 and put in $10 each. They send the apprentice to buy it, but when he gets to the shop there's a sale on, $25 instead of $30. He pays the money and decides to keep some for himself, he decides $2 for himself and a dollar each change for the builders.

So the builders end up paying $9 each, the apprentice has taken $2 for himself. 3 x9 = 27, + 2 = 29. Where's the other dollar gone ?
The big question is what happened to the hotel room?

Three Guys at A Hotel Riddle


Three guys rent a hotel room for the night. When they get to the hotel they pay the $$\$30 $$ fee, then go up to their room. Soon the bellhop brings up their bags and gives the lawyers back $5 because the hotel was having a special discount that weekend. So the three lawyers decide to each keep one of the $5 dollars and to give the bellhop a $2 tip. However, when they sat down to tally up their expenses for the weekend the could not explain the following details:


Each one of them had originally paid $10 (towards the initial $30), then each got back $1 which meant that they each paid $9. Then they gave the bellhop a $2 tip. HOWEVER, 3 • $9 + $2 = $29
The guys couldn't figure out what happened to the other dollar. After all, the three paid out $30 but could only account for $29.
Can you determine what happened?
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Old Aug 29th 2016, 10:14 am
  #19  
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Default Re: An arithmetic teaser

Builders or hotel, it is still counting the 2 pound tip twice.
If you insist.on counting it twice then you also need to count the 25 cost twice too, and add 25 to the 29. 25+29=54. Which is the total of all costs and gains (9x3 + 25+2), as each unit is a cost to one person and a gain to someone else.

Last edited by kimilseung; Aug 29th 2016 at 10:20 am.
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Old Aug 29th 2016, 10:18 am
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Default Re: An arithmetic teaser

Originally Posted by kimilseung
Builders or hotel, it is still counting the 2 pound tip twice.
Ah, you don't say.
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Old Aug 29th 2016, 5:39 pm
  #21  
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Default Re: An arithmetic teaser

10 or 58?
Attached Thumbnails An arithmetic teaser-fb_img_1472492146803.jpg  
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Old Sep 1st 2016, 7:42 am
  #22  
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Default Re: An arithmetic teaser

Originally Posted by kimilseung
10 or 58?
10
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Old Sep 30th 2016, 4:40 am
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Default Re: An arithmetic teaser

Originally Posted by kimilseung
10 or 58?
10.

What is half of two plus two?
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Old Sep 30th 2016, 10:03 am
  #24  
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Default Re: An arithmetic teaser

Originally Posted by Alfresco
10.

What is half of two plus two?
3
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Old Sep 30th 2016, 10:46 am
  #25  
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Default Re: An arithmetic teaser

Originally Posted by Alfresco
10.

What is half of two plus two?
2. If you had a comma after the first two, it would be 3.
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Old Sep 30th 2016, 11:06 am
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Default Re: An arithmetic teaser

Originally Posted by knockoff nige
2. If you had a comma after the first two, it would be 3.
Makes no difference whether you add the comma or not - rules would be that the 1/2 of 2 is done before you add 2

If you want half of 4 or 2+2, it would be half of (2+2)
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Old Sep 30th 2016, 9:52 pm
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Default Re: An arithmetic teaser

Originally Posted by old.sparkles
Makes no difference whether you add the comma or not - rules would be that the 1/2 of 2 is done before you add 2

If you want half of 4 or 2+2, it would be half of (2+2)
Except he spelled it out, he didn't write it out in the form of an equation.
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Old Sep 30th 2016, 10:09 pm
  #28  
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Default Re: An arithmetic teaser

I get 58, but I think they were a bit naughty how they wrote it out.
exponent first; then multiply and divisions left to right so
36/2x3+4
18x3+4
54+4
58
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Old Oct 2nd 2016, 5:08 am
  #29  
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Default Re: An arithmetic teaser

Originally Posted by old.sparkles
Makes no difference whether you add the comma or not - rules would be that the 1/2 of 2 is done before you add 2

If you want half of 4 or 2+2, it would be half of (2+2)
Correct indeed. 3
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Old Oct 2nd 2016, 5:17 am
  #30  
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Default Re: An arithmetic teaser

Originally Posted by kimilseung
I get 58, but I think they were a bit naughty how they wrote it out.
exponent first; then multiply and divisions left to right so
36/2x3+4
18x3+4
54+4
58
Methinks, each argument is self contained.

6 squared = 36
÷
2(3) = 6
+
4

Therefore:

36 ÷ 6 = 6

6 + 4 = 10

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