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Which is greater (r + 3)( s   + 2) or rs + 12

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Carcass
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Which is greater (r + 3)( s   + 2) or rs + 12 [#permalink] New post   07 Apr 2019, 09:47
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A
B
C
D

Question Stats:

94% (00:44) correct 5% (01:25) wrong based on 88 sessions

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Quantity A
Quantity B
(r+3)(s+2)
rs+12



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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D
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GreenlightTestPrep
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Which is greater (r + 3)( s   + 2) or rs + 12 [#permalink] New post   08 Apr 2019, 08:46
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Carcass wrote:
Quantity A
Quantity B
(r+3)(s+2)
rs+12



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.


We can solve this question using matching operations

Given:
Quantity A: (r + 3)(s + 2)
Quantity B: rs + 12

Use FOIL to expand Quantity A:
Quantity A: rs + 2r + 3s + 6
Quantity B: rs + 12

Subtract rs and subtract 6 from both quantities to get:
Quantity A: 2r + 3s
Quantity B: 6

From here, we can see that, if r = 0 and s = 0, then Quantity B is greater than Quantity A
Conversely, if r = 100 and s = 100, then Quantity A is greater than Quantity B

Answer: D

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Re: Which is greater (r + 3)( s   + 2) or rs + 12 [#permalink] New post   17 Jul 2019, 05:33
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Shouldn't it be: Quantity A: rs + 2r + 3s + 6

not 12?
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GreenlightTestPrep
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Re: Which is greater (r + 3)( s   + 2) or rs + 12 [#permalink] New post   17 Jul 2019, 05:54
arc601 wrote:
Shouldn't it be: Quantity A: rs + 2r + 3s + 6

not 12?


Good catch!
I've edited my response.
Kudos for you!!

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Re: Which is greater (r + 3)( s   + 2) or rs + 12 [#permalink]
17 Jul 2019, 05:54
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