anonymous
  • anonymous
The girls' average score is 30. The boys' average score is 24. If there are twice as many boys as girls, what is the overall average?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
what are the options
anonymous
  • anonymous
its not multiple choice
asnaseer
  • asnaseer
lets call the number of girls "g" then there are "2g" boys agreed so far?

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asnaseer
  • asnaseer
this is because it says "If there are twice as many boys as girls"
anonymous
  • anonymous
yes
asnaseer
  • asnaseer
ok, so if there are "g" girls and these girls have an average score of 30, then what would their total score be?
anonymous
  • anonymous
i have this so far
anonymous
  • anonymous
|dw:1434819390316:dw|
asnaseer
  • asnaseer
the denominator should be "g+b"
asnaseer
  • asnaseer
you can then replace the "b" with "2g"
anonymous
  • anonymous
but isn't it twice as many boys?
asnaseer
  • asnaseer
overall average\(=\frac{24b+30g}{b+g}\) and we know: \(b=2g\)
anonymous
  • anonymous
ok so 3g
asnaseer
  • asnaseer
the denominator becomes 3g yes
anonymous
  • anonymous
k and next?
asnaseer
  • asnaseer
similarly, replace b with 2g in the numerator
anonymous
  • anonymous
ohhhh i see
anonymous
  • anonymous
i got it
asnaseer
  • asnaseer
what have you got now?
anonymous
  • anonymous
26g
asnaseer
  • asnaseer
the "g"'s should have cancelled out
anonymous
  • anonymous
oh okay so just 26
asnaseer
  • asnaseer
yes - well done :)
anonymous
  • anonymous
thank youuu <333
asnaseer
  • asnaseer
yw :)

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