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)

Answer 1

If 1/5 of Joshua’s friends prefer volleyball, then 1/5*total number of friends = friends who prefer volleyball.
If 2/5 prefer soccer, then 2/5*total number of friends = friends who prefer soccer.
So the total number of friends who prefer volleyball and soccer is friends who prefer volleyball + friends who prefer soccer = 1/5*total number of friends + 2/5*total number of friends = (1+2)/5*total number of friends = 3/5*total number of friends. Answer: \boxed{3/5}.

Answer 2

An electrical company decides to replace the lightbulbs in all of the nonworking street lights on two specific streets. The company learns that 2/3 of the lights do not work on the first street and 1/6 of the lights do not work on the second street. What is the total fractional portion of the nonworking lights on these two streets?(1 point)