Question

willing to give a medal
Stable High School has a total of 112 boys and girls who play sports. If the number of boys, b is 16 more than twice the number of girls, g, how many boys play sports at this high school?
Which system of equations would help you solve this problem?

Answer 1

You already have the variables chosen, b = number of boys, and g = number of girls.
What is the total number of students (boys and girls combined)? b + g
There are 112 boys and girls. That means b + g = 112
Using b and g, how do you write an expression to mean "the number of boys, b, is 16 more than twice the number of girls, g"?
Number of girls: g
Twice the number of girls: 2g
16 more than twice the number of girls: 2g + 16
That is the number of boys, so
b = 2g + 16
The system of equations is:
b + g = 112
b = 2g + 16