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anonymous

  • one year ago

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?

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  1. anonymous
    • one year ago
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    what are the options

  2. anonymous
    • one year ago
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    its not multiple choice

  3. asnaseer
    • one year ago
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    lets call the number of girls "g" then there are "2g" boys agreed so far?

  4. asnaseer
    • one year ago
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    this is because it says "If there are twice as many boys as girls"

  5. anonymous
    • one year ago
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    yes

  6. asnaseer
    • one year ago
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    ok, so if there are "g" girls and these girls have an average score of 30, then what would their total score be?

  7. anonymous
    • one year ago
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    i have this so far

  8. anonymous
    • one year ago
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    |dw:1434819390316:dw|

  9. asnaseer
    • one year ago
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    the denominator should be "g+b"

  10. asnaseer
    • one year ago
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    you can then replace the "b" with "2g"

  11. anonymous
    • one year ago
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    but isn't it twice as many boys?

  12. asnaseer
    • one year ago
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    overall average\(=\frac{24b+30g}{b+g}\) and we know: \(b=2g\)

  13. anonymous
    • one year ago
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    ok so 3g

  14. asnaseer
    • one year ago
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    the denominator becomes 3g yes

  15. anonymous
    • one year ago
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    k and next?

  16. asnaseer
    • one year ago
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    similarly, replace b with 2g in the numerator

  17. anonymous
    • one year ago
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    ohhhh i see

  18. anonymous
    • one year ago
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    i got it

  19. asnaseer
    • one year ago
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    what have you got now?

  20. anonymous
    • one year ago
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    26g

  21. asnaseer
    • one year ago
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    the "g"'s should have cancelled out

  22. anonymous
    • one year ago
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    oh okay so just 26

  23. asnaseer
    • one year ago
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    yes - well done :)

  24. anonymous
    • one year ago
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    thank youuu <333

  25. asnaseer
    • one year ago
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    yw :)

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