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kmeds16

  • 3 years ago

In a family, each boy has as many sisters as brothers, but each sister has only half as many sisters as brothers. How many children are there in the family?

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  1. goformit100
    • 3 years ago
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    ok

  2. kmeds16
    • 3 years ago
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    @Decart show me the solution please :)

  3. kmeds16
    • 3 years ago
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    Ah ok I got it by fingers. But is there any mathematecal equation to solve this kind of problem? Its like a riddle.

  4. Decart
    • 3 years ago
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    boys = x girls = y

  5. campbell_st
    • 3 years ago
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    there are 7 children, 4 boys and 3 girls...

  6. kmeds16
    • 3 years ago
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    @campbell_st can you show me your solution?

  7. campbell_st
    • 3 years ago
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    plenty of options...

  8. cwrw238
    • 3 years ago
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    i find this quite tricky..

  9. Decart
    • 3 years ago
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    two equations two unknowns

  10. campbell_st
    • 3 years ago
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    if you rewrite Decarts equations you have y = -1 and 0.5y - x = 1

  11. kmeds16
    • 3 years ago
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    oh wait. im still trying to figure it out. its tricky :/

  12. campbell_st
    • 3 years ago
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    for me it was trial and error knowing that there needed to be an odd number of children I knew 3 doesn't work, 5 works for the boy having equal sisters and brothers but doesn't work for the girl, so try 7 works

  13. cwrw238
    • 3 years ago
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    - thats probably the best way i've got a headache trying to create the equations

  14. Decart
    • 3 years ago
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    but we can get them

  15. cwrw238
    • 3 years ago
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    maybe i need another coffee - lol

  16. kmeds16
    • 3 years ago
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    @cwrw238 haha, my brother too. until he left me here alone :/

  17. Decart
    • 3 years ago
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    brother = x+y sister=x+.5y

  18. Decart
    • 3 years ago
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    .5y when we took one away

  19. Decart
    • 3 years ago
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    sister = 2x+y

  20. Decart
    • 3 years ago
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    brother is actually x+1

  21. Decart
    • 3 years ago
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    x+1brother has x-1+y x-1 being himself

  22. cwrw238
    • 3 years ago
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    1 + 2x = x + y where x = girls, y = boys is one equation

  23. Decart
    • 3 years ago
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    x+1+y=y-1+2x

  24. cwrw238
    • 3 years ago
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    that gives x + 1 = 1 + 2x giving x=0

  25. kmeds16
    • 3 years ago
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    i formulated an equation XD x - 1 = y y - 1 = x/2

  26. cwrw238
    • 3 years ago
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    x - 1 = 0.5y is another so u have 1 + 2x = x + y x -1 = 0.5y is that right??

  27. kmeds16
    • 3 years ago
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    @cwrw238 i'll try to solve yours & you try mine :)

  28. cwrw238
    • 3 years ago
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    yes that gives x = 3 y=4

  29. cwrw238
    • 3 years ago
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    oh ok

  30. Decart
    • 3 years ago
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    awesome

  31. cwrw238
    • 3 years ago
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    x - 1 = y y - 1 = 0.5x add x - 2 = 0.5x x = 4 y = 4-1 = 3

  32. cwrw238
    • 3 years ago
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    in your equation x = boys , y = girls right? yours come out right too

  33. kmeds16
    • 3 years ago
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    ya and yours is x = girls and y = boys,right?

  34. cwrw238
    • 3 years ago
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    yea well done

  35. kmeds16
    • 3 years ago
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    thank you @cwrw238 :)

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