Use a system of equations to solve the following problem: Douglas High School has a total of 89 boys and girls who play sports. If the number of boys is 8 more than twice the number of girls, how many boys play sports at this high school?

54

27

81

62

Question

Use a system of equations to solve the following problem: Douglas High School has a total of 89 boys and girls who play sports. If the number of boys is 8 more than twice the number of girls, how many boys play sports at this high school?

 54

 27

 81

 62

mathstudent55 · Answer

Let b = number of boys
Let g = number of girls

There are 89 boys and girls combined, so
b + g = 89

"the number of boys is 8 more than twice the number of girls"
               b               =  8   +              2         *            g
b = 2g + 8

The two equations are 
b + g = 89
b = 2g + 8

Now you need to solve the system of equations.

anonymous · Answer

Its D.

mathstudent55 · Answer

b + g = 89
b = 2g + 8

Solve the first equation for g and substitute into second equation:
g = 89 - b
b = 2(89 - b) + 8
b = 178 - 2b + 8
3b = 186
b = 62
You are correct.