To model the situation where Mrs. Smith has a total of 28 kids in her class, and there are 5 more boys than girls, let's define the variables:
- [tex]\( b \)[/tex] represents the number of boys.
- [tex]\( g \)[/tex] represents the number of girls.
We know two things from the problem statement:
1. The total number of kids is 28.
2. There are 5 more boys than girls.
We can write these two statements as a system of equations:
1. [tex]\( b + g = 28 \)[/tex] (total number of kids)
2. [tex]\( b = g + 5 \)[/tex] (there are 5 more boys than girls)
So the correct system of equations to model this scenario is:
[tex]\[
\left\{
\begin{array}{l}
b + g = 28 \\
b = g + 5
\end{array}
\right.
\][/tex]
This correctly captures all the given information about the relationship between the number of boys and girls in Mrs. Smith's class.
