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 poi
If 1/5 of Joshua's friends like volleyball, then there are 1/5 * j = j/5 friends who like volleyball.
If 2/5 prefer soccer, then there are 2/5 * j = 2j/5 friends who like soccer.
The total fraction of friends who like either volleyball or soccer is j/5 + 2j/5 = 3j/5.
And the fraction who prefer basketball or baseball is 1 - 3j/5 = 5/5 - 3j/5 = (5 - 3j)/5.
To find the number of friends who prefer volleyball and soccer, we need to find j such that 5 - 3j = 4.
This means 3j = 5 - 4 = 1
And j = 1/3
Joshua has 1/3 * 5 = 5/3 friends. Answer: \boxed{\frac{5}{3}}.