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

Question

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

AC07 · Answer

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 .

Heisenberg12 · Answer

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.

Crimson11 · Answer

L = 1.9J
D = .95J
J = J
M = .5J
B = .83J
Therefore, E is the answer

Mo2men · Answer

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

rhine29388 · Answer

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

bumpbot · Answer

Automated notice from GMAT Club BumpBot: 

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

 This post was generated automatically.

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

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Problem Solving (PS) Questions

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

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards