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a/b=153
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Updated on: 19 Feb 2018, 02:37
Updated on: 19 Feb 2018, 02:37
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\(\frac{a}{b} = 153\) ; \(\frac{a}{c} = 51\) ; \(a > 0\)
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 |
\(b\) |
\(c\) |
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: a/b=153
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19 Feb 2018, 02:40
19 Feb 2018, 02:40
1
Expert Reply
\(a = 153b\)
\(a = 51c\)
\(51c = 153b\)
Clearly, C is bigger than b.
B is the answer.
\(a = 51c\)
\(51c = 153b\)
Clearly, C is bigger than b.
B is the answer.
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Re: a/b=153
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19 Feb 2018, 12:45
19 Feb 2018, 12:45
3
ash wrote:
\(\frac{a}{b} = 153\) ; \(\frac{a}{c} = 51\) ; \(a > 0\)
Quantity A |
Quantity B |
\(b\) |
\(c\) |
Let's first solve the two given equations for b and c
GIVEN: a/b = 153
Multiply both sides by b to get: a = 153b
Divide both sides by 153 to get: a/153 = b
GIVEN: a/c = 51
Multiply both sides by c to get: a = 51c
Divide both sides by 51 to get: a/51 = c
So, we have:
Quantity A: a/153
Quantity B: a/51
From here we can use matching operations
Since a > 0, we can safely divide both quantities by a to get:
Quantity A: 1/153
Quantity B: 1/51
Answer: B
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