Joshua surveys his friends to find out which recreational sport is most liked. He asks each of his friends if they prefer basketball, soccer, baseball, or volleyball. He finds 1/5

Question

of his friends like volleyball and 2/5
prefer soccer. How many of Joshua’s friends prefer volleyball and soccer over the other two sports?(1 point)

Answer 1

To determine how many of Joshua's friends prefer volleyball and soccer, we'll need to establish the total number of friends surveyed.

Let's denote the total number of friends as \( N \).

From the survey:

• \( \frac{1}{5} \) of Joshua's friends prefer volleyball.
• \( \frac{2}{5} \) of Joshua's friends prefer soccer.

The number of friends who prefer volleyball is \( \frac{1}{5}N \), and the number who prefer soccer is \( \frac{2}{5}N \).

Now, if we want the combined total of friends who prefer volleyball and soccer, we can add these two amounts:

\[ \text{Total preferring volleyball and soccer} = \frac{1}{5}N + \frac{2}{5}N = \frac{3}{5}N \]

However, without knowing the total number \( N \), we cannot provide an exact numerical answer.

If, for example, Joshua surveyed 25 friends (\( N = 25 \)):

• Friends preferring volleyball = \( \frac{1}{5} \times 25 = 5 \)
• Friends preferring soccer = \( \frac{2}{5} \times 25 = 10 \)

The total preferring volleyball and soccer would then be: \[ 5 + 10 = 15 \]

In this case, 15 of Joshua's friends would prefer either volleyball or soccer.

If you provide the total number of friends surveyed, the exact count can be calculated.

Answer 2

its says that's the wrong answer

Answer 3

I apologize for any confusion. Let's clarify the situation using the information provided to ensure we accurately calculate how many of Joshua’s friends prefer volleyball and soccer.

Based on the survey results:

• Volleyball: \( \frac{1}{5} \) of his friends like volleyball.
• Soccer: \( \frac{2}{5} \) of his friends prefer soccer.

We can express the preferences as fractions of the total number of friends \( N \):

• Friends who prefer volleyball = \( \frac{1}{5}N \)
• Friends who prefer soccer = \( \frac{2}{5}N \)

To find how many friends prefer either volleyball or soccer, we simply need to add these two fractions together:

\[ \text{Total preferring volleyball and soccer} = \frac{1}{5}N + \frac{2}{5}N = \frac{3}{5}N \]

This means that \( \frac{3}{5} \) of Joshua's friends prefer either volleyball or soccer.

Conclusion:

To answer your question:

• If you want to know how many friends prefer volleyball and soccer together, it is \( \frac{3}{5} \) of the total number of friends surveyed \( N \).

Without the total number \( N \), you can only express the answer as \( \frac{3}{5}N \).

If you know the total number of friends or need further assistance, please provide that information, and I'd be happy to help!