Use a system of equations to solve the following problem: Charles High School has a total of 94 boys and girls who play sports. If the number of boys is 22 more than twice the number of girls, how many boys play sports at this high school?

70

48

24

80

Question

Use a system of equations to solve the following problem: Charles High School has a total of 94 boys and girls who play sports. If the number of boys is 22 more than twice the number of girls, how many boys play sports at this high school?

 70

 48

 24

 80

anonymous · Answer

b+g = 94

b-22 = 2g   ---> b-2g = 22

anonymous · Answer

so solve the system of equations

b+g = 94
b-2g = 22

anonymous · Answer

that's  my problem i don't know how to do that

anonymous · Answer

okay it is just like the last problems, we need to get rid of g so that we can solve for b

anonymous · Answer

we can do that by multiplying the top equation by 2, so that the coefficient of g on both equations are opposite 

2b +2g = 188
b-2g = 22

add the equations together

    2b+2g = 188
+  b  - 2g = 22
_______________
   3b        = 210

b = 70

anonymous · Answer

ohhhhhhh

anonymous · Answer

thanx

anonymous · Answer

you're welcome