Question

There are four defenders on a soccer team. If this represents 20 percent of the players on the team, which equation can be used to find the total number of players on the team?
StartFraction 4 divided by 1 Over 20 divided by 1 EndFraction = StartFraction 4 Over 20 EndFraction
StartFraction 4 times 20 Over 100 times 20 EndFraction = StartFraction 80 Over 200 EndFraction
StartFraction 20 times 25 Over 4 times 25 EndFraction = StartFraction 500 Over 100 EndFraction
StartFraction 20 divided by 5 Over 100 divided by 5 EndFraction = StartFraction 4 Over 20 EndFraction

Answer 1

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.

1. **StartFraction 4 divided by 1 Over 20 divided by 1 EndFraction = StartFraction 4 Over 20 EndFraction**
- This does not represent the concept well.

2. **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 \( x \).

3. **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.

4. **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.