Question

1. mrs. brown has 8 more boys than girls in her class and has a total of 26 students. which of the following systems of equations could be used to solve this problem?

g = b + 8 and b + g = 26
b = g + 8 and b + g = 26
b = g - 8 and b + g = 26
b + 8 = g and b + g = 26

Explanation:

Step1: Define Variables

Let \( B \) represent the number of boys and \( G \) represent the number of girls.

Step2: Analyze "8 more boys than girls"

"8 more boys than girls" means the number of boys is equal to the number of girls plus 8, so \( B = G + 8 \).

Step3: Analyze "total of 26 students"

The total number of students is the sum of boys and girls, so \( B + G = 26 \).

Answer:

B. \( B = G + 8 \) and \( B + G = 26 \)