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07 Feb 2010, 12:14
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C
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64% (01:56) correct
36%
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Need Algebric solution - step by step:
If a, b, and C are greater than 0 and a is twice as large as b percent of c, then in terms of b & c, what is a percent of c?
(A) \(\frac{2bc}{100}\)
(B) \(\frac{2bc^2}{1000}\)
(C) \(\frac{bc^2}{5000}\)
(D) \(\frac{b^2c}{5000}\)
(E) \(\frac{5000b}{c^2}\)
If a, b, and C are greater than 0 and a is twice as large as b percent of c, then in terms of b & c, what is a percent of c?
(A) \(\frac{2bc}{100}\)
(B) \(\frac{2bc^2}{1000}\)
(C) \(\frac{bc^2}{5000}\)
(D) \(\frac{b^2c}{5000}\)
(E) \(\frac{5000b}{c^2}\)
07 Feb 2010, 12:29
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jeeteshsingh
Need Algebric solution - step by step:
If a, b, and C are greater than 0 and a is twice as large as b percent of c, then in terms of b & c, what is a percent of c?
(A) \(\frac{2bc}{100}\)
(B) \(\frac{2bc^2}{1000}\)
(C) \(\frac{bc^2}{5000}\)
(D) \(\frac{b^2c}{5000}\)
(E) \(\frac{5000b}{c^2}\)
If a, b, and C are greater than 0 and a is twice as large as b percent of c, then in terms of b & c, what is a percent of c?
(A) \(\frac{2bc}{100}\)
(B) \(\frac{2bc^2}{1000}\)
(C) \(\frac{bc^2}{5000}\)
(D) \(\frac{b^2c}{5000}\)
(E) \(\frac{5000b}{c^2}\)
C
\(a\) is twice as large as \(b\) percent of \(c\) --> \(a=2c\frac{b}{100}\)
What is \(a\) percent of \(c\)? --> \(c\frac{a}{100}=?\)
Multiply first equation by \(\frac{c}{100}\) --> \(a\frac{c}{100}=\frac{c}{100}2c\frac{b}{100}\) --> \(c\frac{a}{100}=\frac{c^2b}{5000}\)
Answer: C.
31 Oct 2010, 04:43
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Answer: C
Explanation:
We can use Word Translation to translate the wording into mathematics and Algebra to solve step by step;
\(a\) is twice \(b\) percent of \(c\) ==> \(a = 2 * \frac{b}{100} * c = 2bc/100\) --> eq-1
and
What is \(a\) percent of \(c\)? ==> \(x = \frac{a}{100} * c = a*c*\frac{1}{100}\) --> eq-2
As, we know the value of \(a\) from the first equation eq-1 and after putting that value into eq-2, we get;
\(x = \frac{2bc}{100}*c*\frac{1}{100} = \frac{bc}{50} *c*\frac{1}{100}= \frac{bc^2}{50} * \frac{1}{100} = \frac{bc^2}{5000}\).
Which is option C
Explanation:
We can use Word Translation to translate the wording into mathematics and Algebra to solve step by step;
\(a\) is twice \(b\) percent of \(c\) ==> \(a = 2 * \frac{b}{100} * c = 2bc/100\) --> eq-1
and
What is \(a\) percent of \(c\)? ==> \(x = \frac{a}{100} * c = a*c*\frac{1}{100}\) --> eq-2
As, we know the value of \(a\) from the first equation eq-1 and after putting that value into eq-2, we get;
\(x = \frac{2bc}{100}*c*\frac{1}{100} = \frac{bc}{50} *c*\frac{1}{100}= \frac{bc^2}{50} * \frac{1}{100} = \frac{bc^2}{5000}\).
Which is option C
