Question

If 80% of all candidates for the soccer team pass the fitness test and only 20% of all athletes are soccer team candidates who pass the test, what percentage of the athletes are candidates for the soccer team?

a) 25%
b) 16%
c) 40%
d) 10%

Answer 1

The percentage of athletes who are candidates for the soccer team is 25%. This is found by setting up a proportional relationship between the number of athletes who pass the test and the number of candidates, given that 80% of candidates pass and only 20% of all athlete passers are candidates.

Step-by-step explanation:

To solve this problem, let's use the information given:

• 80% of all candidates for the soccer team pass the fitness test.
• Only 20% of all athletes are soccer team candidates who pass the test.

We want to find the percentage of the athletes who are candidates for the soccer team.

Let's denote the total number of athletes as A, and let's call the number of candidates for the soccer team C. The information can be translated into the following equations:

• C = number of candidates for the soccer team
• 0.80C = number of candidates who pass the fitness test
• (0.20A) = 0.80C (since 20% of all athletes are soccer team candidates who pass the fitness test)

Now we can solve for C:

C = (0.20A) / 0.80

C = 0.25A

So, 25% of the athletes are candidates for the soccer team. The correct answer is (a) 25%.