To solve the problem "10 is 50 percent of what number?", we can set up the equation based on the relationship of percentage and a whole number.
We know that 50 percent is equivalent to the fraction 50/100 or 1/2. The equation we can set up is:
\[ 10 = 0.5 \cdot x \]
or rewritten in terms of fractions:
\[ 10 = \frac{50}{100} \cdot x \]
To find the value of \( x \) (the number we are looking for), we can manipulate this equation. Rearranging gives us:
\[ x = \frac{10 \cdot 100}{50} \]
This means we multiply 10 by 100 and then divide by 50, which can also be simplified to:
\[ x = 20 \]
So, 10 is 50 percent of 20.
Now, let's check which equation you provided matches this reasoning:
- StartFraction 10 divided by 1 Over 50 divided by 1 EndFraction = StartFraction 10 Over 50 EndFraction - This is incorrect.
- StartFraction 100 times 2 Over 50 times 2 EndFraction = StartFraction 200 Over 100 EndFraction - This doesn't relate directly to our question.
- StartFraction 10 divided by 2 Over 50 divided by 2 EndFraction = StartFraction 5 Over 25 EndFraction - This simplifies to \( 5 = 5 \), but it is not useful for finding \( x \).
- StartFraction 50 divided by 5 Over 100 divided by 5 EndFraction = StartFraction 10 Over 20 EndFraction - This simplifies to \( 10 = 10\), but while it gives a consistent relationship, it doesn't directly solve the question.
None of these equations clearly state the simple relationship needed to solve "10 is 50 percent of what number?" directly. However, using the method provided above (direct algebraic manipulation) gives the answer as 20. Thus, in context, none of the provided options accurately presents the solution.
5 answers