question in descrption

Question

A total of 24 students are in Alfred’s class. The

number of girls in the class is 3 more than twice the

number of boys. Which system of equations can be

used to find g, the number of girls who are in Alfred’s

class, and b, the number of boys?

A) g + b = 24 B) g + b = 24

g = 2b + 3 b = 2g + 3

C) g + b = 24 D) g + b = 24

g = 2b – 3 b = 3 – 2g

E) None of the above

Answer 1

So you want to set up 2 systems of equations.

One should reflect the total number of boys and girls combined in the class, the other should reflect how many girls there are compared to boys.

The first equation is straightforward: “A total of 24 students are in Alfred’s class.” Therefore, G + B =24.

The second equation says “The number of girls in the class is 3 more than twice the number of boys”. Based on “twice the number of boys,” we know there has to be a ‘2b’ term. “3 more than twice the number of boys” suggests that there should be a ‘+3’ term as well. Thus, “3 more than twice the number of boys” ends up being G=2b+3.

Thus, our answer is A.