Respuesta :

Answer:

The number of boys in the class is 9

Step-by-step explanation:

The question in English is

There are 27 students in one class. If 3 girls and 4 boys leave the class, the number of girls will be three times the number of boys. How many boys are in the class?

Let

x -----> the number of boys

y -----> the number of girls

we know that

[tex]x+y=27[/tex] -----> [tex]y=27-x[/tex] -------> equation A

[tex]y-3=3(x-4)[/tex] ----> equation B

substitute equation A in equation B and solve for x

[tex](27-x)-3=3(x-4)[/tex]

[tex]24-x=3x-12[/tex]

[tex]3x+x=24+12[/tex]

[tex]4x=36[/tex]

[tex]x=9\ boys[/tex]

therefore

The number of boys in the class is 9