a music teacher would like to have the same number of girls and of boys in the chorus. she finds that 5/8 of the chorus are girls but that if she can get 14 more boys, the chorus will have the same number of boys and girls. How many students are in the chorus

Answer 1

Let's represent the number of students in the chorus as "x".
Given that 5/8 of the chorus are girls, we can say that the number of girls is (5/8) * x.
And the number of boys would be x - (5/8) * x, which can be simplified to (3/8) * x.

According to the problem, if there are 14 more boys, the number of boys and girls will be equal. This can be expressed as:
(5/8) * x = (3/8) * x + 14

To solve this equation, we can subtract (3/8) * x from both sides:
(2/8) * x = 14

Simplifying further:
(1/4) * x = 14

Now, we can multiply both sides by 4 to get rid of the fraction:
x = 14 * 4

So, the number of students in the chorus is:
x = <<14*4=56>>56 students. Answer: \boxed{56}.