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)

Question

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Answer 1

If 1/5 of Joshua's friends like volleyball, then the fraction that prefer other sports is 1 - 1/5 = 4/5.
Similarly, if 2/5 of Joshua's friends prefer soccer, then the fraction that prefer other sports is 1 - 2/5 = 3/5.
Since these fractions refer to the same friends, we can multiply them together to find the fraction that like both volleyball and soccer, which is (4/5) * (3/5) = 12/25.
So, 12/25 of Joshua’s friends prefer volleyball and soccer. Answer: \boxed{12}.