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m=3n and n=5p
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13 Oct 2021, 10:33
13 Oct 2021, 10:33
Expert Reply
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Question Stats:
73% (00:36) correct
26% (00:27) wrong based on 15 sessions
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\(m=3n\) and \(n=5p\)
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.
Quantity A |
Quantity B |
m |
p |
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.
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Re: m=3n and n=5p
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13 Oct 2021, 11:58
13 Oct 2021, 11:58
Carcass wrote:
\(m=3n\) and \(n=5p\)
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.
Quantity A |
Quantity B |
m |
p |
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.
Given: \(n=5p\)
Multiply both sides of the equation by \(3\) to get: \(3n=15p\)
Given: \(m=3n\)
Since we now know that \(3n=15p\), we can write: \(m=3n=15p\)
So we can replace quantity A (\(m\)) with its equivalent value, \(15p\) ,to get:
QUANTITY A: \(p\)
QUANTITY B: \(15p\)
Since no restrictions are placed on the value of \(p\), it could be the case that \(p = 0\), in which case the two quantities are equal.
Or it could be the case that \(p = 1\), in which case Quantity B is greater.
Or it could be the case that \(p = -1\), in which case Quantity A is greater.
Answer: D
