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 two sports?
Joshua's friends who prefer volleyball and soccer account for 1/5 + 2/5 = <<1/5+2/5=3/5>>3/5 of his friends.
Since Joshua surveyed his entire number of friends, 3/5 of them is represented by 1/5 + 2/5 = <<1/5+2/5=3/5>>3/5.
Since 3/5 represents the 3, this means there are 3 x 3 = 9 friends who prefer volleyball and soccer. Answer: \boxed{9}.
What is the answer?
The answer is 9.
That’s wrong try agian
Apologies for the mistake. Let me recalculate.
If 1/5 of Joshua's friends like volleyball, and 2/5 prefer soccer, then the fraction of friends who like either volleyball or soccer is 1/5 + 2/5 = 3/5.
To find the number of friends who prefer volleyball and soccer, we need to find 3/5 of Joshua's total number of friends.
So, if we let the total number of friends be represented by x, then (3/5) * x = 9.
Multiplying both sides of the equation by (5/3) gives x = 15.
Therefore, there are 9 friends out of a total of 15 who prefer volleyball and soccer.
Recreate the problem in a fraction
Apologies for the confusion. Let's recreate the problem using fractions.
We know that 1/5 of Joshua's friends like volleyball and 2/5 prefer soccer.
To find the fraction of friends who like volleyball or soccer, we can add the fractions together: 1/5 + 2/5 = 3/5.
Therefore, 3/5 of Joshua's friends prefer volleyball or soccer.
To find the fraction of friends who prefer both volleyball and soccer, we need to subtract the fraction who only prefer one sport from the total.
The fraction who prefer both volleyball and soccer is: 3/5 - 1/5 = 2/5.
Therefore, 2/5 of Joshua's friends prefer volleyball and soccer.
THAT IS STILL WRONG
Apologies for the repeated mistakes. Let's solve the problem again.
We know that 1/5 of Joshua's friends like volleyball and 2/5 prefer soccer.
To find the fraction of friends who like both volleyball and soccer, we need to find the common denominator of 5.
The fraction 1/5 can be expressed with a denominator of 5 as: 1/5 * 5/5 = 5/25.
The fraction 2/5 can be expressed with a denominator of 5 as: 2/5 * 5/5 = 10/25.
The total fraction of friends who prefer volleyball and soccer is: 5/25 + 10/25 = 15/25.
Therefore, 15/25 of Joshua's friends prefer volleyball and soccer.