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The ratio of 16 to g is equal to the ratio of g to 49.
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19 Aug 2018, 03:02
19 Aug 2018, 03:02
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34% (00:43) correct
65% (00:43) wrong based on 202 sessions
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The ratio of 16 to g is equal to the ratio of g to 49.
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 |
g |
\(28\) |
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: The ratio of 16 to g is equal to the ratio of g to 49.
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21 Aug 2018, 11:26
21 Aug 2018, 11:26
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sandy wrote:
The ratio of 16 to g is equal to the ratio of g to 49.
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 |
g |
\(28\) |
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: The ratio of 16 to g is equal to the ratio of g to 49.
In other words, 16/g = g/49
Cross multiply to get: g² = (16)(49) [Let's not find this product yet. You'll see why shortly]
Notice that 16 = 4² and 49 = 7²
So, we get: g² = (4²)(7²)
We have a nice rule that says (a^x)(b^x) = (ab)^x
So we can write: g² = 28²
IMPORTANT: Many people will conclude (incorrectly) that g must equal 28
However, we should also note that (-28)² = 28², so g could also equal -28
If g = 28, then Quantity A EQUALS Quantity B
If g = -28, then Quantity B is GREATER THAN Quantity B
Answer: D
Cheers,
Brent
Re: The ratio of 16 to g is equal to the ratio of g to 49.
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19 May 2020, 05:46
19 May 2020, 05:46
2
My question :
If the variable is given as ratio, we don't assume directly that it is positive ?
If the variable is given as ratio, we don't assume directly that it is positive ?
