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GRE Math Challenge #37-A retail business has determined
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19 Sep 2014, 03:46
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.
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
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10 Apr 2015, 08:07
10 Apr 2015, 08:07
1
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: 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
Cheers,
Brent
Re: GRE Math Challenge #37-A retail business has determined
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11 Mar 2018, 06:13
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.
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).
