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For positive numbers a,b, and c, a*b/c=1
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13 Mar 2019, 11:18
13 Mar 2019, 11:18
Expert Reply
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Question Stats:
91% (00:31) correct
8% (01:01) wrong based on 112 sessions
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For positive numbers \(a\),\(b\), and \(c\), \(\frac{a*b}{c}=1\) and \(\frac{c}{a} = 4\)
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 |
\(b\) |
\(4\) |
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: For positive numbers a,b, and c, a*b/c=1
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15 Mar 2019, 01:26
15 Mar 2019, 01:26
1
On solving for b, we get the value of b=4.
Hence C
Hence C
Re: For positive numbers a,b, and c, a*b/c=1
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20 Mar 2019, 08:58
20 Mar 2019, 08:58
Expert Reply
First, break up the first fraction like this:
\(\frac{a}{c}*b = 1\)
Next, if \(\frac{c}{a} = \frac{4}{1}\), then \(\frac{a}{c} = \frac{1}{4}\)
Plug that into our first equation:
\(\frac{1}{4}*b = 1\)
Now multiply both sides by 4:
\(b = 4\)
\(\frac{a}{c}*b = 1\)
Next, if \(\frac{c}{a} = \frac{4}{1}\), then \(\frac{a}{c} = \frac{1}{4}\)
Plug that into our first equation:
\(\frac{1}{4}*b = 1\)
Now multiply both sides by 4:
\(b = 4\)
