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John, Suzy, and David together donated a total of $100 for a charity.
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Bunuel
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John, Suzy, and David together donated a total of $100 for a charity. [#permalink] New post  25 May 2022, 07:45
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John, Suzy, and David together donated a total of $100 for a charity. If John paid 5/3 th of what David donated, Suzy donated $20 and David donated the rest, what fraction of the total amount did David donate?

(A) 1/5
(B) 1/6
(C) 2/7
(D) 3/10
(E) 4/11
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ThatDudeKnows
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Re: John, Suzy, and David together donated a total of $100 for a charity. [#permalink] New post  25 May 2022, 08:15
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Bunuel wrote:
John, Suzy, and David together donated a total of $100 for a charity. If John paid 5/3 th of what David donated, Suzy donated $20 and David donated the rest, what fraction of the total amount did David donate?

(A) 1/5
(B) 1/6
(C) 2/7
(D) 3/10
(E) 4/11



Please, please, please look at the answer choices before you start moving a bunch of variables all over your scratch paper. This is a variation on PITA (Plugging In The Answers).

Could David have donated 1/6 of $100? That's $16.6666666666. Not possible. B is wrong.
100 isn't divisible by C or E either. Those are wrong.
We are left with A and D. Let's just try one. I'll go with A.
(A) David donated 1/5 of the $100, so $20. John paid 5/3rds of what David did. Oh, wait a minute, 20 isn't divisible by 3. A is wrong.

Answer choice D.


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Re: John, Suzy, and David together donated a total of $100 for a charity. [#permalink] New post  25 May 2022, 11:01
J+D+S=100
J:D=5:3
since suzy gave 20,remaining 80 must be in the ration 5:3
so David paid 30
IMO D
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Re: John, Suzy, and David together donated a total of $100 for a charity. [#permalink]
25 May 2022, 11:01
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