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:
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\( \frac{60 \times 2}{30 \times 2} = \frac{120}{60} \)
- This simplifies to \( 2 \), which does not relate to the problem directly.
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\( \frac{30 \div 1}{60 \div 1} = \frac{30}{60} \)
- This simplifies to \( \frac{1}{2} \), which is not relevant.
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\( \frac{60 \div 2}{100 \div 2} = \frac{30}{50} \)
- This simplifies to \( \frac{30}{50} \) which reduces to \( \frac{3}{5} \) or \( 0.6 \), this is not directly the solution.
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\( \frac{100 \times 2}{30 \times 2} = \frac{200}{60} \)
- 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.
5 answers