Irene R. answered • 02/22/20

Engineer and Math Teacher in One!

Let's represent the number of girls with the variable **g** and the number of boys with the variable b.

Then since there are a total of 26 students , we can write the following equation:

**b + g = 26**

Next, there are 2 more boys than girls so we can write the following equation: **b = g + 2**

Now we can use substitution to solve these two equations with two unknowns.

Substitute g + 2 for b in the first equation:

**b + g = 26**

**g + 2 + g = 26**

Now combine like terms and use inverse operations to solve f or the variable g:

**2g + 2 = 26**

**2g + 2 - 2 = 26 - 2**

**2g = 24 **

**2g/2 = 24/ 2**

**g = 12**

There are **12 girls.**

There will be **14 boys** because the total number of students is 26.