For every boy taking classes at the music school , there are 3 girls who are taking classes at the school . if there are 128 students taking classes , write and solve a proportion to predict the number of girls taking classes at the school

3/4 = x/128

4x = 384

x = ?

96 To find the number of girls taking classes at the school, we can set up a proportion using the given information.

Let's denote the number of boys taking classes as 'b' and the number of girls taking classes as 'g'.

According to the given information, for every boy taking classes, there are 3 girls taking classes. So, we can write the proportion as:

b : g = 1 : 3

Now, we know that the total number of students taking classes is 128. So, we can write another proportion using this information:

b + g = 128

To solve the proportion, we can use cross-multiplication:

b/g = 1/3

Cross-multiplying, we get:

3b = g

Substituting this into the second proportion:

b + 3b = 128

4b = 128

Dividing both sides by 4:

b = 32

Now, substitute the value of b back into the proportion to find g:

3(32) = g

g = 96

Therefore, the predicted number of girls taking classes at the school is 96.