To find the total number of players on the team based on the information that 4 defenders represent 20 percent of the players, we can set up a simple equation.
Let \( x \) be the total number of players on the team. Since 20 percent of \( x \) corresponds to the 4 defenders, we can write the equation:
\[ 0.2x = 4 \]
To find \( x \), we can solve for \( x \):
\[ x = \frac{4}{0.2} \]
This simplifies to:
\[ x = 4 \times 5 = 20 \]
Now, let's analyze the equation options provided to see if they match this logic.
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StartFraction 4 divided by 1 Over 20 divided by 1 EndFraction = StartFraction 4 Over 20 EndFraction
- This does not represent the concept well.
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StartFraction 4 times 20 Over 100 times 20 EndFraction = StartFraction 80 Over 200 EndFraction
- This simplifies to \( \frac{80}{200} \) or \( \frac{4}{10} \), which doesn’t directly help in finding \( x \).
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StartFraction 20 times 25 Over 4 times 25 EndFraction = StartFraction 500 Over 100 EndFraction
- This also does not help in finding \( x \) as it represents a different calculation.
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StartFraction 20 divided by 5 Over 100 divided by 5 EndFraction = StartFraction 4 Over 20 EndFraction
- This reduces to \( \frac{4}{20} \), which is \( 20% \), but doesn't directly answer the question for \( x \).
None of the provided options give a straightforward equation for 0.2x = 4.
Thus, the correct equation for determining the total number of players based on the data provided is:
\[ 0.2x = 4 \]
This can also be framed in another way: ( \frac{4}{x} = 0.2 ) OR ( 4 = 0.2x )
From these, we can derive the total number of players.