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A milliner bought a job lot of hats 1/4 of which were brown. The milli
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28 Mar 2022, 07:59
28 Mar 2022, 07:59
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A milliner bought a job lot of hats 1/4 of which were brown. The milliner sold 2/3 of the hats including 4/5 of the brown hats. What fraction of the unsold hats were brown?
(A) 1/60
(B) 2/15
(C) 3/20
(D) 3/5
(E) 3/4
(A) 1/60
(B) 2/15
(C) 3/20
(D) 3/5
(E) 3/4
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Re: A milliner bought a job lot of hats 1/4 of which were brown. The milli
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28 Mar 2022, 08:58
28 Mar 2022, 08:58
1
Carcass wrote:
A milliner bought a job lot of hats 1/4 of which were brown. The milliner sold 2/3 of the hats including 4/5 of the brown hats. What fraction of the unsold hats were brown?
(A) 1/60
(B) 2/15
(C) 3/20
(D) 3/5
(E) 3/4
(A) 1/60
(B) 2/15
(C) 3/20
(D) 3/5
(E) 3/4
STRATEGY CHECK: One option here is to let x = the total number of hats, and then calculate each value in terms of x.
Another option is to assign a "nice" to the total number of hats (i.e., a number that works well with all of the fractions)
Let's take the second approach.
The least common multiple of the three denominators (4, 3 and 5) is 60
So, let's say there are 60 hats in the job lot.
A milliner bought a job lot of (60) hats 1/4 of which were brown.
1/4 of 60 = 15, which means there were 15 brown hats in the job lot.
The milliner sold 2/3 of the hats including 4/5 of the brown hats.
2/3 of 60 = 40, which means the milliner sold a total of 40 hats, and 20 hats remained unsold
4/5 of 15 = 12, which means the milliner sold a total of 12 brown hats, and 3 brown hats remained unsold
What fraction of the unsold hats were brown?
3 of the 20 unsold hats were brown.
Answer = 3/20 = C
Re: A milliner bought a job lot of hats 1/4 of which were brown. The milli
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05 Jun 2023, 00:50
05 Jun 2023, 00:50
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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