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Bunuel
A store bought Q windows at $150 per window and W shelves at $75 per shelve. What is the total price of the windows and the shelves?

(1) The Q windows cost $600.
(2) Q + W/2 = 12.


Given one window cost is 150$ and one shelve cost is 75$.

Question is asking us to find the total price of windows and shelves then we need to have number of windows (X) and the number of shelves (Y).

XQ + YW = ? => 150X + 75Y = ?

Stat 1 : Total windows cost 600$, then the number of windows will be 600/150 = 4. We have number of windows but not number of shelves . Not sufficient.

Stat 2: Q + W/2 = 12. We are not sure on the number of windows and number of shelves, though we have information about individual costs... Not Sufficient.

Stat 1 + Stat 2 : Q = 4 from stat 1.

4 + W/2 = 12 ( replacing 4 in stat 2).
=> W = 4.

Thus we have both Q = 4 and W = 4.

4 * 150 + 4 * 75 = 600 + 300 = 900 ... Hence both sufficient.. Answer C.

OA please...will correct if I missed anything...

ur equation is wrong.X is not number of windows but Q is.Same for shelves
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Bunuel
A store bought Q windows at $150 per window and W shelves at $75 per shelve. What is the total price of the windows and the shelves?

(1) The Q windows cost $600.
(2) Q + W/2 = 12.


Hi Bunuel,

Can you share us the complete solution.
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Bunuel
A store bought Q windows at $150 per window and W shelves at $75 per shelve. What is the total price of the windows and the shelves?

(1) The Q windows cost $600.
(2) Q + W/2 = 12.


Hi Bunuel,

Can you share us the complete solution.

A store bought Q windows at $150 per window and W shelves at $75 per shelve. What is the total price of the windows and the shelves?

We need to find the value of 150Q + 75W = 75(2Q + W). So, basically we need the value of 2Q + W

(1) The Q windows cost $600. Q = 600/150. We don;t know the value of W. Not sufficient.

(2) Q + W/2 = 12 --> 2Q + W = 24. Sufficient.

Answer: B.
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Bunuel
A store bought Q windows at $150 per window and W shelves at $75 per shelve. What is the total price of the windows and the shelves?

(1) The Q windows cost $600.
(2) Q + W/2 = 12.

the trick here is not to get overly confused by needing something that is not actually needed :)

from the condition, we have one expression with two unknown.
150Q+75W
question is - what this expression is equal to?

1. we can find the value for Q. but what about W?? not sufficient.

2. Q+W/2 = 12.
multiply by 2
2Q+W=24
multiply by 75
150Q+75W=smth smth...actually don't need to calculate.

B is sufficient.
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