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Each of 1,455 runners registered to run in an upcoming marathon answer

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carbazzy
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Each of 1,455 runners registered to run in an upcoming marathon answer [#permalink] New post   Updated on: 02 Oct 2023, 04:56
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35% (medium)

Question Stats:

74% (02:30) correct 26% (02:43) wrong based on 54 sessions
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Each of 1,455 runners registered to run in an upcoming marathon answered "Yes" or "No" to two questions on the registration form: (1) Do you run at least 25 miles per week? and (2) Do you experience joint pain? Of those who answered "Yes" to the first question, 785 answered "Yes" to the second question, and 380 answered "No" to the second question. Of those who answered "No" to the first question, x runners answered "Yes" to the second question, and y runners answered "No" to the second question, where x > y.

Select for x and for y values that are jointly consistent with the given information. Make only two selections, one in each column.
x y
75
145
215
290
455
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Originally posted by carbazzy on 07 Aug 2019, 14:14.
Last edited by Sajjad1994 on 02 Oct 2023, 04:56, edited 7 times in total.
Moved to the new TP forum
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munir151991
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Re: Each of 1,455 runners registered to run in an upcoming marathon answer [#permalink] New post   17 Oct 2019, 17:51
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I got stuck on this one too so I'll reply:

The key thing is here to read carefully: Of those who answered "Yes" to the first question, 785 answered "Yes" to the second question, and 380 answered "No" to the second question.

Basically this is saying 785 + 380 = 1170 is what people said "Yes" to the first question. Given we know the "Yes" now and 1,455 of total participants, we can figure out the number of "No" for the 1st question which is 290.

Now it's asking us what happened to the 290 so we know that x + y must equals 290 and x>y so we are just looking for two values that add up to 290. Hope that helps :)
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Re: Each of 1,455 runners registered to run in an upcoming marathon answer [#permalink] New post   17 Oct 2019, 21:27
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785 - Yes to first question, Yes to second question
380- Yes to first question, No to second question

Total yes to first question = 785+380= 1165

1455-1165 = 290

290 = x(No to first, yes to second)+y(No to first, no to second)

x>y so x = 215,y= 75

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Re: Each of 1,455 runners registered to run in an upcoming marathon answer [#permalink] New post   13 Dec 2022, 20:07
carbazzy wrote:
Each of 1,455 runners registered to run in an upcoming marathon answered "Yes" or "No" to two questions on the registration form: (1) Do you run at least 25 miles per week? and (2) Do you experience joint pain? Of those who answered "Yes" to the first question, 785 answered "Yes" to the second question, and 380 answered "No" to the second question. Of those who answered "No" to the first question, x runners answered "Yes" to the second question, and y runners answered "No" to the second question, where x > y.

Select for x and for y values that are jointly consistent with the given information. Make only two selections, one in each column.

xyValues
75
145
215
290
455



Can someone please help explain this TargetTestPrep karishma
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Re: Each of 1,455 runners registered to run in an upcoming marathon answer [#permalink] New post   02 Aug 2023, 10:58
munir151991 wrote:
I got stuck on this one too so I'll reply:

The key thing is here to read carefully: Of those who answered "Yes" to the first question, 785 answered "Yes" to the second question, and 380 answered "No" to the second question.

Basically this is saying 785 + 380 = 1170 is what people said "Yes" to the first question. Given we know the "Yes" now and 1,455 of total participants, we can figure out the number of "No" for the 1st question which is 290.

Now it's asking us what happened to the 290 so we know that x + y must equals 290 and x>y so we are just looking for two values that add up to 290. Hope that helps :)


==

Should be 1165 and not 1170
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Re: Each of 1,455 runners registered to run in an upcoming marathon answer [#permalink] New post   02 Oct 2023, 04:12
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Total people = 1455.
There are 2 questions in consideration :
1. run >25m/week ?
2. joint pain experienced ?

Possible options 2 - Yes or No.
Of those who answered "Yes" to the first question, 785 answered "Yes" to the second question, and 380 answered "No" to the second question.
QuestionYesNo
run >25m/week ?1165
joint pain experienced ?785380


From the above statement we can say that 785 + 380 answered yes to the first question = 1165.
From this we can also infer that 1455 - 1165 = the number of people who answered NO to the first question = 290

II. Of those who answered "No" to the first question, x runners answered "Yes" to the second question, and y runners answered "No" to the second question
QuestionYesNo
run >25m/week ?1165290
joint pain experienced ?785+x380+y


from here we can say that 785+ x + 380+ y = 1165 +x + y = 1455 or simply x + y = 290.
Or x = 290 - y.
We also know that x>y

Simply put the values from the options to check.
i.e put y = 75 we get x = 215.
Which satisfies the conditions.

xyValues
*75
145
*215
290
455


Apologies for the formatting of the tables, believe me i tried but unfortunately was unable to reduce the gap. :?
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Sajjad1994
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Re: Each of 1,455 runners registered to run in an upcoming marathon answer [#permalink] New post   02 Oct 2023, 04:25
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IshanSaini wrote:
Apologies for the formatting of the tables, believe me i tried but unfortunately was unable to reduce the gap. :?


Reduced on your behalf. :)
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Sajjad1994
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Re: Each of 1,455 runners registered to run in an upcoming marathon answer [#permalink] New post   02 Oct 2023, 04:58
Expert Reply
Hello IshanSaini

I moved and formatted the question to the new Two-Part analysis forum, let me know how it looks.
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Re: Each of 1,455 runners registered to run in an upcoming marathon answer [#permalink] New post   02 Oct 2023, 05:10
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Sajjad1994 wrote:
Hello IshanSaini

I moved and formatted the question to the new Two-Part analysis forum, let me know how it looks.


Hi Sajjad1994,

Looks pretty Amazing !!.
The Question is visible in the Two-Part analysis forum.
Options and highlight function when clicking submit or show answers working perfectly.
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Re: Each of 1,455 runners registered to run in an upcoming marathon answer [#permalink]
02 Oct 2023, 05:10
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