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 finds1/5 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)

1 answer

To determine how many of Joshua's friends prefer volleyball and soccer, we can use the fractions given.

From the information provided:

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

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

The number of friends who prefer volleyball is: \[ \frac{1}{5}N \]

The number of friends who prefer soccer is: \[ \frac{2}{5}N \]

To find the total number of friends who prefer volleyball and soccer, we can add these two amounts together: \[ \frac{1}{5}N + \frac{2}{5}N = \frac{3}{5}N \]

Thus, \( \frac{3}{5} \) of Joshua's friends prefer either volleyball or soccer. If you know the total number of his friends, you can substitute \( N \) to find the exact count of friends who prefer these two sports. Otherwise, the answer remains \( \frac{3}{5} \) of his friends.