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\(750 < n < 1,500\)

Quantity A

Quantity B

\(1,500-n\)

\(n-750\)

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

Re: 750 < n < 1,500 [#permalink]
25 May 2018, 20:21

Carcass wrote:

\(750 < n < 1,500\)

Quantity A

Quantity B

1,500-n

n-750

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

Re: 750 < n < 1,500 [#permalink]
25 May 2018, 21:54

Carcass wrote:

\(750 < n < 1,500\)

Quantity A

Quantity B

1,500-n

n-750

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

Re: 750 < n < 1,500 [#permalink]
26 May 2018, 09:59

2

This post received KUDOS

Expert's post

Carcass wrote:

\(750 < n < 1,500\)

Quantity A

Quantity B

\(1,500-n\)

\(n-750\)

A) Quantity A is greater. B) Quantity 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: 1,500 - n Quantity B: n - 750

Let's try to get the variables (n's) in one quantity

Add n to both quantities to get: Quantity A: 1,500 Quantity B: 2n - 750

Add 750 to both quantities to get: Quantity A: 2,250 Quantity B: 2n

Divide both quantities by 2 to get: Quantity A: 1,125 Quantity B: n

We're told that 750 < n < 1,500 This means n COULD equal 1,125 in which case the two quantities are EQUAL or n COULD equal 1,400 in which case Quantity B is GREATER

Answer: D

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Re: 750 < n < 1,500 [#permalink]
27 May 2018, 11:55

Given range -> 750 < n < 1500 Subtract n from the above equation. You'll get 750-n < 0 < 1500-n . Therefore, n - 750 > 0 and 1500 - n > 0 . If n = 800 , then n - 750 = 50 and 1500 - n = 700 . Here B is greater. If n = 1400 , then n - 750 = 650 and 1500-n - 100 , Here A is greater. Hence we can conclude that D is the appropriate option.

Happy Learning!

greprepclubot

Re: 750 < n < 1,500
[#permalink]
27 May 2018, 11:55