Bunuel wrote:
If x > 0, which of the following expressions are equal to 3.6 percent of \(\frac{5x}{12}\) ?
A. 3 percent of 20x
B. x percent of \(\frac{3}{2}\)
C. 3x percent of 0.2
D. 0.05 percent of 3x
E. \(\frac{3x}{200}\)
3.6 percent of \(\frac{5x}{12}=\frac{3.6}{100}\times\frac{5x}{12}=\frac{18x}{1200}=\frac{3x}{200}\)
Now check the answer choices to see which one evaluate to be \(\frac{3x}{200}\)
A. 3 percent of 20x = \(\frac{3}{100}\times20x=\frac{60x}{100}=\frac{3x}{5}\)
NOPE!
B. x percent of \(\frac{3}{2}\) = \(\frac{x}{100}\times\frac{3}{2}=\frac{3x}{200}\)
PERFECTC. 3x percent of 0.2 = \(\frac{3x}{100}\times\frac{2}{10}=\frac{6x}{1000}=\frac{3x}{500}\)
NOPE!
D. 0.05 percent of 3x = \(\frac{0.05}{100}\times3x=\frac{5}{10,000}\times3x=\frac{15x}{10,000}=\frac{3x}{2000}\)
NOPE!
E. \(\frac{3x}{200}\)
PERFECTAnswer: B & E
Cheers,
Brent