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waheguru Group Title

Can someone pleas ehelp me with this question, i am confused. Its solving porportions and i am doing 8:4:x = 2: y:6 how do i solve this?

  • one year ago
  • one year ago

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  1. wio Group Title
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    It turns out into a system of equations.

    • one year ago
  2. wio Group Title
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    \[ 8:4:x=c(2:y:6) \\ 8 = 2c \\ 4 = cy\\ x = 6c \\ \]

    • one year ago
  3. wio Group Title
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    First solve for c, then solve for x and y.

    • one year ago
  4. waheguru Group Title
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    where does the c come from?

    • one year ago
  5. skullpatrol Group Title
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    The alphabet.

    • one year ago
  6. wio Group Title
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    c is there to represent the fact that two proportional things are going to be equal if you multiply one of them by c.

    • one year ago
  7. skullpatrol Group Title
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    You need to find a c such that the above equation is true.

    • one year ago
  8. waheguru Group Title
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    I know a/b = c/d and a*d=b*c but this euqstion had 3 terms which is confusing me

    • one year ago
  9. skullpatrol Group Title
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    Have you solved for c?

    • one year ago
  10. waheguru Group Title
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    umm.

    • one year ago
  11. waheguru Group Title
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    im not sure how

    • one year ago
  12. wio Group Title
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    \[ 8=2c \]

    • one year ago
  13. wio Group Title
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    \[ \frac{8}{2} = \frac{4}{y} \\ \frac{8}{2} = \frac{x}{6} \]

    • one year ago
  14. waheguru Group Title
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    but how does 8 = 2c?

    • one year ago
  15. skullpatrol Group Title
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    $$8=2c$$ $$\frac{1}{2}*8=\frac{1}{2}*2c$$ $$4=(\frac{1}{2}*2)c$$ $$4=1c$$ $$4=c$$

    • one year ago
  16. skullpatrol Group Title
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    $$ 8:4:x = 2: y:6$$ $$8:4:x = c(2: y:6)$$

    • one year ago
  17. skullpatrol Group Title
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    |dw:1360205915252:dw|

    • one year ago
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