Respuesta :

Answer:

165 boys

Step-by-step explanation:

we have:

462=a+b

a=girls

b=boys

a=132+b

462=132+b+b

462=132+2b

462-132=2b

b=165 = boys

Answer: There are 165 boys

[tex]b = 165[/tex]

Step-by-step explanation:

Let's call b the number of boys and call g the number of girls in the class.

Then we know that:

There are 462 students. This means that:

[tex]b + g = 462[/tex]

We also know that there are 132 more girls than boys, this means that:

[tex]g = b + 132[/tex]

Now we substitute the second equation in the first and solve for b.

[tex]b + (b + 132) = 462[/tex]

[tex]2b = 462-132[/tex]

[tex]2b = 330[/tex]

[tex]b = \frac{330}{2}[/tex]

[tex]b = 165[/tex]