Let the Doughnuts be D each of price X
Let the Cupcakes be C each of price Y
DX+CY = 6.00

1) Says.. 3Y-2X= 0.10 Not Sufficient
2) Says.. X+Y = 0.70 Not Sufficient

Together, X and Y can be found out. But C and D cannot be found.


Answer E.

does one kind mean type or quantity.. i assumed he bought one of each...
thanks

umm, i got this one wrong, but i am not convinced with the answer,


Let Price of Doughnut be D , number of Doughnuts - n1 , Price of Cupcake be C, number of Cupcakes - n2

So.. We have n1D + n2C = 6 (the total amount spent on Doughnuts and Cupcakes)

1. 2D =3C - 0.10 - Not Sufficient.

2. D+C/2 = 0.35 - Not Sufficient.

Taking both the equations together, we can find the value of D and C, but we don't have n1 and n2.

The answer should be E, however, i chose C, because..n1 and n2 can only be positive integers and there could only be one possible combination of n1 and n2 that would result in a total of 6 dollars. Hence C should have been the answer.

Can any experts throw some light on this?


Also, just to ellaborate my point, on how GMAT tricks mortals like us ..have a look at this question

https://www.manhattangmat.com/forums/mar ... t5144.html

So, is the criterion to decide between C and E in such questions is to check where you are on the Test, i.e. if it is in top 10, the answer is more likely to be C, if the question is 15+ then it is E.

6=xC+yD
with x the price of one Cake and y the price of one Don..
(1)+(2) --- we cand find that x=0.3 and y=0.4
he could have bought 6 Don and 12 cakes or 3 don and 16 cakes...(i m not quit sure if there are other sets) but just these two shows us that we can not be sure about the number of Don he bought ...=E
hope it helps

Ya but that's the point, if go on to find two sets that would dismiss C as an option, you are essentially wasting approximately 5 minutes to solve the question.