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# Joe and JoAnn each bought 12 ounces of coffee in a 16-ounce cup. Joe d

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Math Expert
Joined: 02 Sep 2009
Posts: 58454
Joe and JoAnn each bought 12 ounces of coffee in a 16-ounce cup. Joe d  [#permalink]

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26 Mar 2019, 05:42
00:00

Difficulty:

35% (medium)

Question Stats:

75% (02:18) correct 25% (02:13) wrong based on 15 sessions

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Joe and JoAnn each bought 12 ounces of coffee in a 16-ounce cup. Joe drank 2 ounces of his coffee and then added 2 ounces of cream. JoAnn added 2 ounces of cream, stirred the coffee well, and then drank 2 ounces. What is the resulting ratio of the amount of cream in Joe's coffee to that in JoAnn's coffee?

(A) 6/7
(B) 13/14
(C) 1
(D) 14/13
(E) 7/6

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Joe and JoAnn each bought 12 ounces of coffee in a 16-ounce cup. Joe d  [#permalink]

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26 Mar 2019, 12:28
3
Bunuel wrote:
Joe and JoAnn each bought 12 ounces of coffee in a 16-ounce cup. Joe drank 2 ounces of his coffee and then added 2 ounces of cream. JoAnn added 2 ounces of cream, stirred the coffee well, and then drank 2 ounces. What is the resulting ratio of the amount of cream in Joe's coffee to that in JoAnn's coffee?

(A) 6/7
(B) 13/14
(C) 1
(D) 14/13
(E) 7/6

first solve for Joe
coffe = 12 ounces -2 ounce = 10 ounce
cream = 2ounce ; total 12 ounce
ratio of cream in cup ; 2/12 ; 1/6 or 2 ounces cream

Joann= 12 ounces coffee
cream = 2 ounces; total 14 ounces
drank 2 ounce ; left 12 ounce
but cream ratio is 2/14 ; 1/7 drank
left with 6/7 of cream
there is 2*6/7 = 12/7 left
ratio 2/12* 7 ; 7/6 cream ratio
IMO E
Joe and JoAnn each bought 12 ounces of coffee in a 16-ounce cup. Joe d   [#permalink] 26 Mar 2019, 12:28
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