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17 Apr 2018, 17:50
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C
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Difficulty:
55%
(hard)
Question Stats:
63% (02:12) correct
37%
(02:19)
wrong
based on 299
sessions
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On a certain airplane, 2/5 of the passengers are female, 1/8 of the passengers like peanuts, and 1/2 of the passengers are males who do not like peanuts, then the number of male passengers who like peanuts is what fraction of the total number of male passengers on the plane?
A 1/2
B 1/4
C 1/6
D 1/8
E 1/10
A 1/2
B 1/4
C 1/6
D 1/8
E 1/10
17 Apr 2018, 19:44
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Buttercup3
Attachment:
matrixmandp.png [ 8.27 KiB | Viewed 5051 times ]
explain with a double matrix.
Also, assigning a number for total passengers
makes this problem easier.
Let the total number of passengers = \(40\)
(\(40\)= LCM of denominators in the fractions)
Start with the most restrictive category.
\(\frac{1}{2}\) of passengers are men who do
not like peanuts.
\(\frac{1}{2}\) of \(40 = 20\) men
who do not like peanuts
\(\frac{2}{5}\) of the passengers are women
\(\frac{2}{5} * 40 = 16\) women
\(\frac{3}{5}\) of all passengers must be men
\(\frac{3}{5} * 40 = 24\) men
(Or, \(40\) passengers - \(16\) women = \(24\) men)
Number of men who DO like peanuts?
\(24\) men total - \(20\) men who do not like peanuts
= \(4\) men who DO like peanuts
the number of male passengers
who like peanuts is what fraction
of the total number of male passengers
on the plane?
Men who like peanuts = \(4\)
Total male passengers = \(24\)
\(\frac{4}{24} = \frac{1}{6}\)
Answer C
It does not matter that \(\frac{1}{8}\) of the passengers like peanuts.
25 Apr 2018, 02:56
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Buttercup3
1/2 of the passengers are males who do not like peanuts,
WHAT DOES ABOVE STATEMENT MEAN ??
Pls give OA explanation
