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

Answer:

$2x+100=522$

Step-by-step 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  $2x+100=522$

Answer 2

Answer:

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

Step-by-step 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.