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

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Each of 1,455 runners registered to run in an upcoming marathon answer  [#permalink]

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New post Updated on: 14 Nov 2019, 08:00
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

Originally posted by carbazzy on 07 Aug 2019, 13:14.
Last edited by SajjadAhmad on 14 Nov 2019, 08:00, edited 6 times in total.
Updated - Complete topic (24).
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Re: Each of 1,455 runners registered to run in an upcoming marathon answer  [#permalink]

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New post 17 Oct 2019, 16:51
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]

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New post 17 Oct 2019, 20:27
1
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] 17 Oct 2019, 20:27

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

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