Question

A high school graduating class is made up of 462 students. There are 132 more girls than boys. How many boys are in the​ class?

Answer 1

Answer: There are 165 boys

`b = 165`

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:

`b + g = 462`

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

`g = b + 132`

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

`b + (b + 132) = 462`

`2b = 462-132`

`2b = 330`

`b = (330)/(2)`

`b = 165`

Answer 2

165 boys

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