Question

In B high school, 20% of the students are musicians. In A high school, 25% of the students are musicians. If A high school has 60% more students than B high school, then the number of musicians in A high school is what percent of the musicians in B?

a) 80%
b) 90%
c) 100%
d) 120%

Answer 1

The number of musicians in A high school is 120% of the musicians in B high school.

Step-by-step explanation:

To find the percentage of musicians in A high school compared to B high school, we need to compare the number of musicians in both schools. Let's assume B high school has 100 students. Therefore, 20% of 100 students = 20 musicians in B high school.

Since A high school has 60% more students than B high school, it would have 160 students (100 + 60% of 100). Therefore, 25% of 160 students = 40 musicians in A high school.

So, the number of musicians in A high school is 40, which is 200% (40/20) of the musicians in B high school. Therefore, the answer is d) 120%.