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03 Sep 2011, 12:50
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
73% (02:23) correct
27%
(02:17)
wrong
based on 143
sessions
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Not Attempted Yet
Hanks Manufacturing recently conducted a survey of its employees. The results showed that of the n people who work at the company, 1/3 drink decaffeinated coffee, and the remainder drink regular coffee. Of those who do not drink decaf, 2/5 add cream to their coffee. Which of the expressions below accurately represents the number of employees who do not drink regular coffee with cream.
A. 2n/3
B. n/8
C. 4n/15
D. 11n/15
E. 13n/15
A. 2n/3
B. n/8
C. 4n/15
D. 11n/15
E. 13n/15
03 Sep 2011, 13:24
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i believe it's D.
it said that 2/5*2/3n do drink Regular+Cream.
2/5*2/3= 4/15
so the rest (1-4/15) do not drink R+C which equals to 11/15
it said that 2/5*2/3n do drink Regular+Cream.
2/5*2/3= 4/15
so the rest (1-4/15) do not drink R+C which equals to 11/15
03 Sep 2011, 20:21
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kuttingchai
The question is fine.
Decaffeinated coffee = 1/3
Regular coffee = 2/3
"Of those who do not drink decaf, 2/5 add cream to their coffee."
means 'of the regular drinkers, i.e. of the 2/3, 2/5 add cream'
Regular coffee drinkers who add cream = 2/5 * 2/3 = 4/15
The fraction that drinks 'regular coffee with cream' = 4/15
The fraction that does not drink 'regular coffee with cream' is the rest = 1 - 4/15 = 11/15
Number of people = 11n/15
