Final answer:
The problem can be expressed as a linear equation with two variables, G for the number of girls and B for the number of boys, given as G = (2/3)B + 7. This equation indicates that the number of girls is 7 more than two-thirds of the number of boys.
Step-by-step explanation:
The number of girls in a class can be represented as a linear equation in two variables related to the number of boys. Let's denote the number of girls in the class as G and the number of boys as B. According to the problem, the number of girls is 7 more than two-thirds of the number of boys. This relationship can be expressed as: G = (2/3)B + 7
This is our linear equation in two variables, where G depends on B. If we know the number of boys, we can use this equation to find the number of girls.
Let's break it down: (2/3)B represents two-thirds of the boys. We multiply the number of boys by 2/3. After finding two-thirds of the boys, we add 7 to account for the additional number of girls as mentioned in the problem statement.
As an example, if there were 30 boys in the class, the equation would look like this:
G = (2/3) × 30 + 7
G = 20 + 7 = 27
So, there would be 27 girls in the class. This demonstrates how the linear equation can be applied to find the number of girls based on the number of boys.