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John weighs twice as much as Marcia. Marcia’s weight is 60% of Bob’s

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John weighs twice as much as Marcia. Marcia’s weight is 60% of Bob’s [#permalink]

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John weighs twice as much as Marcia. Marcia’s weight is 60% of Bob’s weight. Dave weighs 50% of Lee’s weight. Lee weighs 190% of John’s weight. Which of these 5 persons weighs the least?

(A) Bob
(B) Dave
(C) John
(D) Lee
(E) Marcia

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Re: John weighs twice as much as Marcia. Marcia’s weight is 60% of Bob’s [#permalink]

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New post 14 Oct 2017, 05:35
Bunuel wrote:
John weighs twice as much as Marcia. Marcia’s weight is 60% of Bob’s weight. Dave weighs 50% of Lee’s weight. Lee weighs 190% of John’s weight. Which of these 5 persons weighs the least?

(A) Bob
(B) Dave
(C) John
(D) Lee
(E) Marcia


J = 2M
M = 3B/5, B = 5M/3
L = 1.9J = 3.8M
D = L/2 = 1.9M

Therefore, Marcia weighs the least.
Answer is E.
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Re: John weighs twice as much as Marcia. Marcia’s weight is 60% of Bob’s [#permalink]

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New post 14 Oct 2017, 06:01
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Bunuel wrote:
John weighs twice as much as Marcia. Marcia’s weight is 60% of Bob’s weight. Dave weighs 50% of Lee’s weight. Lee weighs 190% of John’s weight. Which of these 5 persons weighs the least?

(A) Bob
(B) Dave
(C) John
(D) Lee
(E) Marcia



John = J, Marcia = M, Lee = L, Dave = D, Bob = B.

Statement to Equation:
1) J=2M --> M=0.5J

2) M = 0.6B --> 0.5J=0.6B --> B=0.83J (B=5/6J)

3) D = 0.5L --> D=0.5(1.9J) --> D=0.95J

4) L=1.9J

Thus,

M=0.5J
B=0.83J
D=0.95J
L=1.9J

Thus, Marcia weighs the least.
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Re: John weighs twice as much as Marcia. Marcia’s weight is 60% of Bob’s [#permalink]

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New post 14 Oct 2017, 10:08
L = 1.9J
D = .95J
J = J
M = .5J
B = .83J
Therefore, E is the answer
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Re: John weighs twice as much as Marcia. Marcia’s weight is 60% of Bob’s [#permalink]

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New post 15 Oct 2017, 03:29
Bunuel wrote:
John weighs twice as much as Marcia. Marcia’s weight is 60% of Bob’s weight. Dave weighs 50% of Lee’s weight. Lee weighs 190% of John’s weight. Which of these 5 persons weighs the least?

(A) Bob
(B) Dave
(C) John
(D) Lee
(E) Marcia


Let's plug quick numbers. Bon is my start. Let's Bob's weight = 100

M = 0.6B = 0.6 * 100 = 60

J=2M = 2 * 60 = 120

L=1.9J =1.9 * 120 = 240 (slightly less than 240)

D = 0.5L = 0.5 *240 =120 (slightly less than 120)

From all the above, it is clear that Marcia is the least weight

Answer: E
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Re: John weighs twice as much as Marcia. Marcia’s weight is 60% of Bob’s [#permalink]

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New post 15 Oct 2017, 11:19
We have to consider the common link between the various comparisons and that would be weight of John
Let us consider the weight of John be x Weight of John = x
Marcia's weight is half of that of John so value is 0.5x Weight of Marcia = 0.5x
Bob's weight is 0.83x as Marcia's weight is 60% of weight of Bob Weight of Bob = 0.83x
Now we will consider the weight of Lee which is 1.90x Weight of Lee = 1.9x
As Dave weighs 50% of Lee, Dave's weight is 0.95x Weight of Dave = 0.95x


It can be clearly observed that value of weight of Marcia is the least and so the Correct answer - E
Re: John weighs twice as much as Marcia. Marcia’s weight is 60% of Bob’s   [#permalink] 15 Oct 2017, 11:19
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