To find the total number of players on the team, we can use the relationship that 20 percent of the players equals 4 defenders. We can set up an equation based on this information.
Let \( x \) be the total number of players on the team. Since 20 percent of the players equals 4 defenders, we can write the equation:
\[ 0.20x = 4 \]
To solve for \( x \), we divide both sides by 0.20:
\[ x = \frac{4}{0.20} \]
Next, we can express \( 0.20 \) as a fraction:
\[ 0.20 = \frac{20}{100} \]
Thus, we can rewrite the equation as:
\[ x = \frac{4}{\frac{20}{100}} = 4 \cdot \frac{100}{20} \]
This simplifies to:
\[ x = 4 \cdot 5 = 20 \]
So, the total number of players on the team is 20.
Now, let's evaluate the given equations:
-
StartFraction 4 divided by 1 Over 20 divided by 1 EndFraction = StartFraction 4 Over 20 EndFraction: This may not clearly represent the relationship or be a correct representation.
-
StartFraction 4 times 20 Over 100 times 20 EndFraction = StartFraction 80 Over 200 EndFraction: This does not seem relevant as it doesn't relate to the direct derivation of the total number of players from the information given and could confuse the calculation.
-
StartFraction 20 times 25 Over 4 times 25 EndFraction = StartFraction 500 Over 100 EndFraction: Again, this does not correctly represent the problem.
The best way to conclude is to directly use the equation derived from \( 0.20x = 4 \), which can also be rephrased as:
\[ \frac{4}{x} = \frac{20}{100} \]
From this equation, you can find the total number of players \( x = 20 \).
Based on analysis, you would want to use:
\[ 0.20x = 4 \quad \text{or} \quad \frac{4}{x} = \frac{20}{100} \]
None of the provided equations accurately reflect a clear calculation for \( x \). However, the instruction called for an equation we can use: \( 0.20x = 4 \) or its fractional equivalent as mentioned.
1 answer