Respuesta :

Answer:

There are 14 boys and 12 girls

Step-by-step explanation:

There are 26 students in Mrs. Ortlieb's class.

There are two more boys than girls.

Let the number of boys be x and number of girls be y.

x + y = 26 ... (i)

x = 2 + y ... (ii)

Solving this system of simultaneous equations by rearranging first:

x + y = 26 ... (i)

x - y = 2 ... (ii)

Adding (i) and (ii) gives;

2x + 0 = 28

x = 28 ÷ 2 = 14

So there are 14 boys and;

26 - 14 = 12 girls.

adioabiola

The system of equations that represents the situation is 26 = x + (x + 2)

Given:

Total students in class = 26

let

number of girls = x

number of boys = x + 2

The equation:

Total students in class = number of girls + number of boys

26 = x + (x + 2)

26 = x + x + 2

26 = 2x + 2

subtract 2 from both sides

26 - 2 = 2x

24 = 2x

divide both sides by 2

x = 24 / 2

x = 12

Therefore,

number of girls = x

= 12 girls

number of boys = x + 2

= 12 + 2

= 14 boys

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