Question

If 'b' represents the number of boys and g represents the numbers of girls, write the system of equations for the following . due to a computer glitch , an algebra class has a total of 90 students .there are 10 more boys than girls.

Answer 1

The system of equations for an algebra class with 90 students where there are 10 more boys than girls is 'b + g = 90', representing the total number of students, and 'b = g + 10', signifying that there are 10 more boys than girls.

Step-by-step explanation:

To represent the scenario of an algebra class with a total of 90 students, with 10 more boys than girls, we can use a system of linear equations. We let 'b' denote the number of boys and 'g' represent the number of girls.

The system of equations reflecting the given conditions is:

1. b + g = 90 (The sum of the number of boys and girls is 90)
2. b = g + 10 (There are 10 more boys than girls)

This system of equations can solve for the exact numbers of boys and girls in the class by substituting one equation into the other.