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20 Jul 2022, 01:30
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
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Question Stats:
64% (02:53) correct
36%
(02:58)
wrong
based on 47
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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
Are You Up For the Challenge: 700 Level Questions
(A) 6/7
(B) 13/14
(C) 1
(D) 14/13
(E) 7/6
Are You Up For the Challenge: 700 Level Questions
20 Jul 2022, 07:18
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Bunuel
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
(A) 6/7
(B) 13/14
(C) 1
(D) 14/13
(E) 7/6
All we care about is the cream.
Joe adds the cream at the end, so he ends up with 2oz of cream.
JoAnn adds 2 oz of cream, which brings the total drink volume to 14oz. She then drinks 2oz, which is 1/7th of the total volume, so she drinks 1/7th of the cream, so 2/7ths of an ounce. She ends up with 12/7ths of an ounce of cream.
Joe : JoAnn
2 : 12/7
14 : 12
7 : 6
Answer choice E.
Note: If you picked A or B, add to your error log that you might benefit from doing a little sanity check when you're done doing your math. Joe added his cream after drinking, so all the cream is there at the end. JoAnn added her cream and then drank, so she drank some of her cream. Joe definitely ends up with more cream than does JoAnn. We need something greater than 1. D and E were the only possibilities. That sanity check takes mere seconds and can save you from locking in a silly mistake.
20 Jul 2022, 23:06
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Bunuel
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
(A) 6/7
(B) 13/14
(C) 1
(D) 14/13
(E) 7/6
Since Joe adds cream after he drinks his coffee, he has 2 ounces of cream in his cup.
When JoAnn add 2 ounces of cream to her 12 ounces of coffee, she has 14 ounces of coffee with cream, and 2/14 = 1/7 of her drink is cream. After drinking 2 ounces, she has 12 ounces remaining, so the amount of cream in her cup is 12 * 1/7 = 12/7.
The ratio of the amount of cream in Joe's coffee to that in JoAnn's coffee is 2/(12/7) = 2 * 7/12 = 14/12 = 7/6.
Answer: E
