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

Create a vivid image of a young Caucasian boy, named Joshua, conducting a survey on recreational sports among his friends in a park. His friends, including a Middle-Eastern boy and a Hispanic girl, are placed randomly standing or sitting around him. Each friend is holding a ball that represents their favorite sport - either a basketball, soccer ball, baseball, or volleyball. Out of the group, 1/5 are holding volleyballs and 2/5 are holding soccer balls. The scene is depicted in a casual, friendly, and lively manner. No text should be included in the image.

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

it's wrong

Answer 2

Apologies for the mistake.

If 1/5 of Joshua's friends like volleyball and 2/5 prefer soccer, then we need to find the number of friends who like both volleyball and soccer.

Let's assume Joshua has 5 friends.

1/5 of them like volleyball, which means 1/5 * 5 = 1 friend likes volleyball.
2/5 of them prefer soccer, which means 2/5 * 5 = 2 friends prefer soccer.

We need to find the number of friends who like both volleyball and soccer. However, we don't have enough information to determine this number. The question only tells us how many friends like each sport individually, but it doesn't tell us about any overlap between the sports.

Therefore, we cannot determine how many of Joshua's friends prefer volleyball and soccer over the other two sports based on the given information. The answer is indeterminable.

Answer 3

To find out how many of Joshua's friends prefer volleyball and soccer, we need to find the common fraction or the least common multiple of the denominators, which are 5 and 5.

The least common multiple of 5 and 5 is 5.

Now, we need to find out the number of friends who prefer volleyball and soccer.

Since 1/5 of his friends prefer volleyball and 2/5 prefer soccer, we add these fractions together:

1/5 + 2/5 = 3/5.

Therefore, 3/5 of Joshua's friends prefer volleyball and soccer.

Now, to find out how many friends that represents, multiply the fraction by the total number of Joshua's friends:

3/5 x Total number of friends.

Without knowing the total number of Joshua's friends, it is not possible to determine the exact number of friends who prefer volleyball and soccer.

Answer 4

To solve this problem, we need to find the number of friends who prefer volleyball and soccer over the other two sports.

First, let's determine the total number of friends Joshua has. Since we are given information about the preferences of his friends, we can assume that all his friends have answered the survey.

Let's represent the total number of friends as "x."

According to the given information, 1/5 of his friends prefer volleyball, and 2/5 prefer soccer.

The number of friends who prefer volleyball can be calculated as (1/5)x, and the number of friends who prefer soccer is (2/5)x.

To find the number of friends who prefer volleyball and soccer over the other two sports, we need to subtract the total number of friends who prefer volleyball and soccer from the total number of friends.

The number of friends who prefer volleyball and soccer is ((1/5)x) + ((2/5)x), which can be simplified as (3/5)x.

So the number of friends who prefer the combination of volleyball and soccer over the other two sports is (3/5)x.

To find the answer in terms of "x," we multiply (3/5)x by x/x to get ((3/5)x)(x/x) = (3/5)x²/x.

Therefore, the number of friends who prefer volleyball and soccer over the other two sports is (3/5)x²/x, which can be simplified as (3/5)x.

So, the answer is that ((3/5)x) of Joshua's friends prefer volleyball and soccer over the other two sports.

Answer 5

1/5 of Joshua's friends prefer volleyball, which means there are 1/5 * 5 = <<1/5*5=1>>1 friend who likes volleyball.

2/5 of Joshua's friends prefer soccer, which means there are 2/5 * 5 = <<2/5*5=2>>2 friends who like soccer.
Therefore, Joshua has a total of 1 + 2 = <<1+2=3>>3 friends who prefer volleyball and soccer over the other two sports. Answer: \boxed{3}.