Question

Which equation can be used to solve the problem?

60 percent of what number is 30?
StartFraction 60 times 2 Over 30 times 2 EndFraction = StartFraction 120 Over 60 EndFraction
StartFraction 30 divided by 1 Over 60 divided by 1 EndFraction = StartFraction 30 Over 60 EndFraction
StartFraction 60 divided by 2 Over 100 divided by 2 EndFraction = StartFraction 30 Over 50 EndFraction
StartFraction 100 times 2 Over 30 times 2 EndFraction = StartFraction 200 Over 60 EndFraction

Answer 1

To solve the problem "60 percent of what number is 30?", we can express it mathematically using the following equation:

Let \( x \) be the unknown number. The equation can be set up as:

\[ 0.6x = 30 \]

To find \( x \), we can rewrite the equation:

\[ x = \frac{30}{0.6} \]

Now, let's analyze the choices given:

1. \( \frac{60 \times 2}{30 \times 2} = \frac{120}{60} \)
- This simplifies to \( 2 \), which does not relate to the problem directly.

2. \( \frac{30 \div 1}{60 \div 1} = \frac{30}{60} \)
- This simplifies to \( \frac{1}{2} \), which is not relevant.

3. \( \frac{60 \div 2}{100 \div 2} = \frac{30}{50} \)
- This simplifies to \( \frac{30}{50} \) which reduces to \( \frac{3}{5} \) or \( 0.6 \), this is not directly the solution.

4. \( \frac{100 \times 2}{30 \times 2} = \frac{200}{60} \)
- This simplifies to \( \frac{20}{6} \) or approximately \( 3.33 \), rather irrelevant.

None of these equations are a direct representation of the problem \( 0.6x = 30 \) or the rearranged version \( x = \frac{30}{0.6} \).

So, while we have determined that the mathematical representation is \( 0.6x = 30 \), none of the provided equations correctly solve the original problem as intended.

However, we can conclude that the proper approach to solving the problem leads us to:

\[ x = \frac{30}{0.6} \text{ or } x = 50. \]

The best equation to solve the problem would be \( 0.6x = 30 \), but it is not present among the options given.