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 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

Since 1/5 of his friends prefer volleyball and 2/5 prefer soccer, the total fraction of friends who like volleyball and soccer is 1/5 + 2/5 = 3/5.
If Joshua has a total of x friends, then 3/5*x = 3/5*100/100*x = 60/100*x = 3x/5 is the number of his friends who prefer volleyball and soccer over the other two sports.
Thus, Joshua has 3x/5 = 3/5*x friends who prefer volleyball and soccer over the other two sports. Answer: \boxed{3/5}.