Question

The freshman class at Central High totals 522 students, with 100 more girls than boys. Which equation can be used to find the number of boys?

Answer 1

The required equation is (1) and the number of boys is 211.

Explanation:

Let the number of boys be x.

It is given that there are 100 more girls than boys. It means the number of girls is x+100.

The total number of students is 522.

Number of boys + Number of girls = 522

`x+(x+100)=522` ... (1)

Combine like terms.

`2x+100=522`

Subtract 100 from both the sides.

`2x+100-100=522-100`

`2x=422`

Divide both sides by 2.

`x=211`

Therefore the required equation is (1) and the number of boys is 211.

Answer 2

`2x+100=522`

Explanation:

Let the no. of boys be x

We are given that there are 100 more girls than boys.

So, No. of girls = x+100

Total number students =
`x+x+100`

=
`2x+100`

We are given that The freshman class at Central High totals 522 students

So, equation becomes :
`2x+100=522`

Hence an equation can be used to find the number of boys is
`2x+100=522`