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Mathematics 16 Online
OpenStudy (cedric):

Stable High School has a total of 112 boys and girls who play sports. If the number of girls, g is 16 more than twice the number of boys, b, how many girls play sports at this high school? Which system of equations would help you solve this problem? b + g = 112 b = 2g + 16 b + g = 112 g = 2b + 16 b − g = 112 b = 2g − 16 None of the systems above would solve this problem

OpenStudy (anonymous):

ok, so it's saying that boys and girls together would make 112 students total, so off the bat we can get the first part down. Do you know what it is?

OpenStudy (cedric):

B

OpenStudy (anonymous):

yup

OpenStudy (anonymous):

remember to see that they tried to trick you with A and B being similar.

OpenStudy (cedric):

Because it says G = twice as many boys so equation B has b= 2g + 16 which is what we were lookin for right?

OpenStudy (cedric):

Yes they mixed the simplified part right?

OpenStudy (anonymous):

cedric if the number of girls is twice the number of boys you agree that g=2b . right?

OpenStudy (cedric):

Yes

OpenStudy (anonymous):

@cedric yeah, you were right earlier. Sorry for not replying for a bit.

OpenStudy (cedric):

oh okay thank you haha

OpenStudy (anonymous):

so the only thing that that you didn't realise is that g=2b. has a consequence the equation should be b+g=112 and g=2b+16

OpenStudy (cedric):

ohhhhhh

OpenStudy (cedric):

But i still got the right answer in the end

OpenStudy (anonymous):

I've made a mistake reading g=2b+16. got it look there "g is 16 more than twice the number of boys"

OpenStudy (anonymous):

yes you may have got the right answer in the and but u always should look for really understanding the problem that's the key to understand and love math

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