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?

Question

anonymous · Answer

g girls 
b boys 
g+b=89
b=2g-8

anonymous · Answer

g girls
b boys 
g+b=89
b=2g+8
@protosbg isnt it supossed to a + ?

anonymous · Answer

boys are more

anonymous · Answer

the number of boys is 8 more (+8), twice (2g) the number of girls. Is my logic wrong here?

anonymous · Answer

I'm so confused right now lol

anonymous · Answer

:D yes yes

anonymous · Answer

sorry 
:)

anonymous · Answer

lol relax Bianca will solve it.

anonymous · Answer

so it a +. Do you agree @protosbg ?

anonymous · Answer

:D absolutely 10x for correction

anonymous · Answer

lol :D sweet. Do you get it @biancataylor515 ?

anonymous · Answer

I understand what you did, but i'm not so sure on how to solve it..

anonymous · Answer

substitute g from first equation in second :)

anonymous · Answer

yep just do protosbg says and tell me what answer you get.

anonymous · Answer

62   @biancataylor515 ?

anonymous · Answer

i dont know i stop here :)

anonymous · Answer

lol

anonymous · Answer

eqn 1  g= 89-b
eqn 2  b=2g+8
           b=2(89-b) + 8               substitute eqn 1 into eqn 2
           b=178-2b+8
           b=186-2b
           3b=186
            b=62

anonymous · Answer

okay i got the same thing a while ago sorry i didn't reply sooner but thank you so so so so much :)