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Hi, I have just started my GMAT prep. 
I was solving this problem by assumption, theresa baked let's say 10 pies, so the total no of pies will be n= 60. How can i find the real fraction of pies baked by Roger ??

I need help with getting to the solution with this method, but do let me know if this approach is incorrect.
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mansi_gupta
Hi, I have just started my GMAT prep. 
I was solving this problem by assumption, theresa baked let's say 10 pies, so the total no of pies will be n= 60. How can i find the real fraction of pies baked by Roger ??

I need help with getting to the solution with this method, but do let me know if this approach is incorrect.
Yes we can solve this by assumption as well,
­If theresa baked 10 pies (Theresa baked half as many pies as Roger) means Roger count is 20. which is n/3 right? 
Therefore n = 60.
Now lets check for simon (Simon baked 2n more pies than Theresa), Simon count = 2*60 + Theresa count. = 130
Therefore total pies = 10+20+130 = 160
So, Rogers fraction is = 20 / 160 = 1/8.
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I think for using fraction directly is easy. But an alternative way can also be used.
We see that n is a multiple of multiple of 6 and as i can see that the option has either 8 or 16, so i started safe by plugging the value of n by taking LCM of 6 and 16= 48. i.e. n=48

From the question, we have
R=n/3= 48/3=16
T= R/2 = 16/2 =8
S= T+2*n= 8+2*48 =8+96= 104
Total= 104+16+8= 128

R/Total= 16/128= 1/8.

I just took this case for a safer side. we can take other multiples of 6 as well.
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