In the table above, if no one is assigned to more than one project, wh

Question

https://gmatclub.com/forum/download/file.php?id=49737 In the table above, if no one is assigned to more than one project, what is the number of women assigned to Project 2? A. 100 B. 75 C. 50 D. 25 E. 15 image666.jpg

anud33p · Accepted Answer

Add them up:

2 (a + b + c) = 450. Therefore, a + b + c = 225.

Using a + b = 200, we know that c =  25 .  D  is the answer.

Also, it is an interesting qualification that the question stem provides - we wouldn't have been able to calculate c if it weren't given that no person is assigned to more than one project.

Archit3110 · Answer

from given chart we can make following eqn 
a+b=200
a+c=180
solve b-c = 20
b+c= 70
solve c= 25
IMO D

ScottTargetTestPrep · Answer

We can create the equations:

a + b = 200

and

a + c = 180

and

b + c = 70

If we subtract the second equation from the first, we have:

b - c = 20

If we add the above equation and the third equation, we have:

2b = 90

b = 45

Thus, c = 25.

Answer: D

vaibhav1221 · Answer

Another way to look at this problem is as follows.

Option A and B can easily be eliminated because they won't satisfy equation for people in group 3.

Then we can use hit a trial. I started off with 25.
If C = 25, then B = 45 (Eq 3)
If B = 45, then A = 155 (Eq 1)
If A = 155, then C = 25 (Eq 2)

This confirms that C = 25.

Hence, D.

Kinshook · Answer

a+b = 200
a+c = 180
b+c = 70

a+b+c = 225
c = (a+b+c) - (a+b) = 225 - 200 = 25

IMO D

Bunuel · Answer

Video Explanation

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Kinshook · Answer

a + b = 200 (1) 
a + c = 180 (2)
b + c = 70 (3)

Adding all 3 equations

2a + 2b + 2c = 450
a + b + c = 225 (4)

(4) - (1)
c = 25

IMO D

ihasan · Answer

This is how I approached.

a+b=200 - (1)

a+c=180 - (2)

Substract (1) by (2)

then b-c = 20 - (4)

b+c= 70 - (3)

Add (4) & (3)

then 2b = 90, b = 45

then c = 25

MathRevolution · Answer

a + b = 200  -----(1) 
a + c = 180  -----(2)

(1) - (2)  => b - c = 20  -----(3)

=> b + c = 70  -----(4)

(3) + (4)  => 2b = 90

=> b = 45.

=> 45 + c = 70

=> c = 25

Answer D

bumpbot · Answer

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In the table above, if no one is assigned to more than one project, wh

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