Which equation can be used to find 30 percent of 600?

Question

StartFraction 600 times 6 Over 100 times 6 EndFraction = StartFraction 3600 Over 600 EndFraction
StartFraction 30 times 6 Over 100 times 6 EndFraction = StartFraction 180 Over 600 EndFraction
StartFraction 100 times 20 Over 30 times 20 EndFraction = StartFraction 2000 Over 600 EndFraction
StartFraction 30 times 1 Over 600 times 1 EndFraction = StartFraction 30 Over 600 EndFractionv

Answer 1

To find 30 percent of 600, you can use the equation:

\[ \frac{30 \times 600}{100} \]

This simplifies to:

\[ \frac{18000}{100} = 180 \]

From the options you provided, the correct representation for calculating \(30%\) of \(600\) isn't explicitly stated, but we can analyze the choices provided:

1. \(\frac{600 \times 6}{100 \times 6} = \frac{3600}{600}\)
2. \(\frac{30 \times 6}{100 \times 6} = \frac{180}{600}\)
3. \(\frac{100 \times 20}{30 \times 20} = \frac{2000}{600}\)
4. \(\frac{30 \times 1}{600 \times 1} = \frac{30}{600}\)

The second equation, \(\frac{30 \times 6}{100 \times 6} = \frac{180}{600}\), correctly represents the calculation of \(\frac{30}{100} \times 600 = 180\).

Thus, the second option is valid because:

\[ 30% \text{ of } 600 = \frac{30}{100} \times 600 = \frac{180}{600} \]

However, note that none of the options directly indicate \(30%\) without simplification, but the second option effectively communicates the calculation performed.