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GRE Math Challenge #37-A retail business has determined

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sandy
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GRE Math Challenge #37-A retail business has determined [#permalink] New post   19 Sep 2014, 03:46
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A retail business has determined that its net income, in terms of x, the number of items sold, is given by the expression x^2 + x - 380.

Column A: The number of items to be sold for the net income to be zero

Column B: 10

A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
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Re: GRE Math Challenge #37 [#permalink] New post   10 Apr 2015, 08:07
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sandy wrote:
A retail business has determined that its net income, in terms of x, the number of items sold, is given by the expression x^2 + x - 380.

Column A: The number of items to be sold for the net income to be zero

Column B: 10

A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.


Column A: If the net income = 0, then x² + x - 380 = 0
Let's solve this equation by factoring: (x + 20)(x - 19) = 0
So, x = -20 or x = 19
Since x (the number of items sold) cannot be NEGATIVE, we can be certain that x = 19
So, Column A = 19
Column B = 10

Correct answer:
Show: ::
A


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Re: GRE Math Challenge #37-A retail business has determined [#permalink] New post   11 Mar 2018, 06:13
sandy wrote:
A retail business has determined that its net income, in terms of x, the number of items sold, is given by the expression x^2 + x - 380.

Column A: The number of items to be sold for the net income to be zero

Column B: 10

A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.


First of all, we had to know that items can NOT be negative.

Then, for the net income \(x^{2}\) + x - 380 to be 0. We can do the factorization (x+20)(x-19). We get x=19 or -20.

since items can not be negative. Quant A is 20 which is bigger than Quant B (10).
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Re: GRE Math Challenge #37-A retail business has determined [#permalink] New post   18 Feb 2020, 10:17
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The discussion is located here https://gre.myprepclub.com/forum/a-retail- ... tml#p45802

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Re: GRE Math Challenge #37-A retail business has determined [#permalink]
18 Feb 2020, 10:17
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