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Another Puzzle
Jul 8, 2020 22:13:30   #
Howard5252 Loc: New York / Florida (now)
 
A teacher asked her class a question and gave them 4 possible answers. 5 students picked A; 8 students chose B; 1 student opted for C, and I don’t remember how many chose D. After the teacher looked at all of the answers, she announced that exactly ½ of the class got the right answer. How many students picked D ?

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Jul 8, 2020 22:22:30   #
Howard5252 Loc: New York / Florida (now)
 
17 views so far. Send me your answer in a PM so as not to spoil it for those who are still thinking about it.

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Jul 8, 2020 22:34:00   #
Howard5252 Loc: New York / Florida (now)
 
35 views; One response with half of the answer so far.

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Jul 8, 2020 22:46:37   #
Howard5252 Loc: New York / Florida (now)
 
We have a winner; The answer is either 2 or 14. The winner is PQUIGGLE. THERE WERE 54 views.

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Jul 9, 2020 07:12:56   #
Dannj
 
Howard5252 wrote:
We have a winner; The answer is either 2 or 14. The winner is PQUIGGLE. THERE WERE 54 views.


How can there be 2 right answers?

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Jul 9, 2020 07:25:34   #
Add Loc: S.W.Florida
 
14

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Jul 9, 2020 07:49:00   #
rplain1 Loc: Dayton, Oh.
 
Dannj wrote:
How can there be 2 right answers?


Just plug in the two numbers for "D". They both work.

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Jul 9, 2020 07:51:52   #
Howard5252 Loc: New York / Florida (now)
 
Dannj wrote:
How can there be 2 right answers?


You assumed that A,B,and C were the wrong answer and the correct answer D. If D was correct then the number of people who answered D would have to match the total of those who answered A,B, and C. This, of course is one possibility.

Look again, suppose that B was the correct answer; do the math with B as the correct answer.

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Jul 9, 2020 07:59:30   #
Longshadow Loc: Audubon, PA, United States
 
Dannj wrote:
How can there be 2 right answers?


It was never stated which was correct answer, A, B, C, or D.

Therefore if B is correct, then D=2;, if D is correct, then D=14.
A and C cannot be correct as they cannot be "half the class".

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Jul 9, 2020 09:02:19   #
Dannj
 
Howard5252 wrote:
You assumed that A,B,and C were the wrong answer and the correct answer D. If D was correct then the number of people who answered D would have to match the total of those who answered A,B, and C. This, of course is one possibility.

Look again, suppose that B was the correct answer; do the math with B as the correct answer.


Got it...thanks!
Actually, I didn’t make any assumptions. It just didn’t make sense to me that there could be 2 right answers😊

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Jul 9, 2020 09:36:32   #
Howard5252 Loc: New York / Florida (now)
 
Dannj wrote:
Got it...thanks!
Actually, I didn’t make any assumptions. It just didn’t make sense to me that there could be 2 right answers😊


Yah ..... sometimes you have to dig a little deeper for the correct answer. Take a look at The Footrace problem. Enjoy.

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Jul 9, 2020 10:24:13   #
deberry Loc: Spartanburg, SC
 
28

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Jul 9, 2020 10:29:42   #
Howard5252 Loc: New York / Florida (now)
 
deberry wrote:
28


Sorry, wrong. The answer has already been posted.

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Jul 10, 2020 19:24:08   #
Mike from Point
 
Two students picked D.

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Jul 10, 2020 19:40:59   #
Howard5252 Loc: New York / Florida (now)
 
Mike from Point wrote:
Two students picked D.


The correct answer has been posted 2 days ago, check it out.

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