The high school marching band has a total of 100 students. There are 3 times as many girls in the band as boys how many girls are in the bad?

Question

Math problem

 

Answer 1

Let number of boys = x

Let number of girls = 3x

 

Use these variables to set an equation that represents the total number of students.

 

x + 3x = 100

 

 

Solve this equation for x.  Then, multiply that value by 3 to get the number of girls.

Answer 2

 let x = # boys in band; so 3x (three times as many) = # of girls in band.

 

4x is total band members; 4x = 1000,  Therefore x = 250 (1000/4), so 3x, the number of girls, must be 750.

Answer 3

B = number of boys

G = number of girls

 

G = 3B

 

B + G = 100

 

Substitute G=3B into last equation:

 

B + 3B = 100

 

Solve for B:

 

4B = 100

 

B = 25

 

G = 3B =3(25) = 75

 

There are 75 girls and 25 boys in the band.