Math / Algebra

QuestionSix players on the Sluggers baseball team are pitchers. The pitchers make up 25\% of the team. How many players are on the Sluggers baseball team? )) Pick the model that represents the oblem. \begin{tabular}{|c|c|c|c|c|} \hline 0\% & 25\% & 50\% & 75\% & 100\% \\ \hline 0 & 6 & & & ? \\ \hline 0\% & 25\% & 50\% & 75\% & 100\% \\ \hline 0 & ? & & & 25 \\ \hline \end{tabular}

Studdy Solution

STEP 1

What is this asking? If 6 pitchers make up 25% of a baseball team, how many total players are there? Watch out! Don't mix up the part (pitchers) and the whole (team).
We know the part (6 pitchers) and the percentage (25%), and we need to find the whole team size.

STEP 2

1. Set up a proportion
2. Solve for the unknown

STEP 3

We know that 25% is the same as $\frac{25}{100}$ , which simplifies to $\frac{1}{4}$ .
We divide both the numerator and denominator by their greatest common divisor, 25, to get this simplified fraction.
This tells us that the 6 pitchers represent one-fourth of the entire team.

STEP 4

Let's use $x$ to represent the total number of players on the team.
We can set up a proportion: $\frac{\text{Number of pitchers}}{\text{Total number of players}} = \frac{6}{x}$ We also know that the pitchers represent 25% or $\frac{1}{4}$ of the team.
So, we can write: $\frac{6}{x} = \frac{1}{4}$

STEP 5

To solve for $x$ , we cross-multiply: $6 \cdot 4 = 1 \cdot x$

STEP 6

This gives us: $24 = x$ So, there are 24 players on the team.

STEP 7

There are 24 players on the Sluggers baseball team.
The correct model is the first one, where 25% corresponds to 6 players, and 100% corresponds to the unknown total number of players, which we now know is 24.

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Studdy Solution

STEP 1

What is this asking? If 6 pitchers make up 25% of a baseball team, how many total players are there? Watch out! Don't mix up the part (pitchers) and the whole (team).
We know the part (6 pitchers) and the percentage (25%), and we need to find the whole team size.

STEP 2

1. Set up a proportion
2. Solve for the unknown

STEP 3

We know that 25% is the same as $\frac{25}{100}$ , which simplifies to $\frac{1}{4}$ .
We divide both the numerator and denominator by their greatest common divisor, 25, to get this simplified fraction.
This tells us that the 6 pitchers represent one-fourth of the entire team.

STEP 4

Let's use $x$ to represent the total number of players on the team.
We can set up a proportion: $\frac{\text{Number of pitchers}}{\text{Total number of players}} = \frac{6}{x}$ We also know that the pitchers represent 25% or $\frac{1}{4}$ of the team.
So, we can write: $\frac{6}{x} = \frac{1}{4}$

STEP 5

To solve for $x$ , we cross-multiply: $6 \cdot 4 = 1 \cdot x$

STEP 6

This gives us: $24 = x$ So, there are 24 players on the team.

STEP 7

There are 24 players on the Sluggers baseball team.
The correct model is the first one, where 25% corresponds to 6 players, and 100% corresponds to the unknown total number of players, which we now know is 24.

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Studdy Solution

STEP 1

What is this asking? If 6 pitchers make up 25% of a baseball team, how many total players are there? Watch out! Don't mix up the part (pitchers) and the whole (team).We know the part (6 pitchers) and the percentage (25%), and we need to find the whole team size.

STEP 2

1. Set up a proportion2. Solve for the unknown

STEP 3

STEP 4

STEP 5

To solve for xxx, we **cross-multiply**: 6⋅4=1⋅x 6 \cdot 4 = 1 \cdot x 6⋅4=1⋅x

STEP 6

This gives us: 24=x 24 = x 24=x So, there are **24** players on the team.

STEP 7

There are **24** players on the Sluggers baseball team.The correct model is the first one, where 25% corresponds to 6 players, and 100% corresponds to the unknown total number of players, which we now know is **24**.

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

What is this asking? If 6 pitchers make up 25% of a baseball team, how many total players are there? Watch out! Don't mix up the part (pitchers) and the whole (team).
We know the part (6 pitchers) and the percentage (25%), and we need to find the whole team size.

1. Set up a proportion
2. Solve for the unknown

To solve for $x$ , we cross-multiply: $6 \cdot 4 = 1 \cdot x$

This gives us: $24 = x$ So, there are 24 players on the team.

There are 24 players on the Sluggers baseball team.
The correct model is the first one, where 25% corresponds to 6 players, and 100% corresponds to the unknown total number of players, which we now know is 24.