Eddy1 wrote:
I am little confused about the interpretation of the line "manufacturer sold twice as many units of Q as P"
Based on my understanding - the equation must look like Q=2P instead of P=2Q. Source for such inference is an answer I picked from GMAT club. Its written below
"If you follow the above process, you will start with the clause "twice as many A". This implies that the quantity of A is two times or double the quantity of something else, which here is B.
So if there are a dozen items of B, you will have double that number for A, which would be 24. That is, A=2B.
Alternatively, to obtain the equation 2A=B, you would translate the following sentence: "There are half as many A as there are B."
Can you please help me understand why are we interpreting it differently?
Your algebraic translation is spot-on. Perfect.
The equation is definitely Q=2P
I have a feeling you made your post because you feel it contradicts something I wrote in my solution: "So, let's say the manufacturer sold
1 P and
2 Q's"
Notice that these values satisfy your equation, Q = 2P.
When we plug
P =1 and
Q = 2 into your equation (Q = 2P) we get:
2 = 2(
1), which works perfectly.