vinni.k wrote:GMATGuruNY wrote::
Since x+2y = 40, it is not possible that the total number of bonds -- in other words, the value of x+y -- is equal to 50.
The correct answer is E.
Thanks for your replies.
Even I am also not able to relate this x + 2y = 40 with the answer. I am bit confused after this.
Vinni
From my post above:
x+2y = 40.
Answer choice E implies that the number of bonds purchased is equal to 50:
x+y = 50.
Subtracting the second equation from the first, we get:
(x+2y) - (x+y) = 40-50
y = -10.
Doesn't work: it is not possible that the number of $100 bonds purchased is equal to a negative value.
We also can reason our way to the correct answer.
The greatest answer choice is 50.
If 50 of the $50 bonds are purchased, the total amount purchased = 50*50 = 2500.
Too much: the total amount purchased must be equal to 2000.
Since purchasing 50 of the cheaper of the two bonds yields a total greater than 2000, it is not possible to purchase 50 bonds.
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