waheguru
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?



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wio
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It turns out into a system of equations.

wio
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\[
8:4:x=c(2:y:6) \\
8 = 2c \\
4 = cy\\
x = 6c \\
\]

wio
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First solve for c, then solve for x and y.

waheguru
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where does the c come from?

skullpatrol
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The alphabet.

wio
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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.

skullpatrol
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You need to find a c such that the above equation is true.

waheguru
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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

skullpatrol
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Have you solved for c?

waheguru
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umm.

waheguru
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im not sure how

wio
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\[
8=2c
\]

wio
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\[
\frac{8}{2} = \frac{4}{y} \\
\frac{8}{2} = \frac{x}{6}
\]

waheguru
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but how does 8 = 2c?

skullpatrol
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$$8=2c$$
$$\frac{1}{2}*8=\frac{1}{2}*2c$$
$$4=(\frac{1}{2}*2)c$$
$$4=1c$$
$$4=c$$

skullpatrol
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$$ 8:4:x = 2: y:6$$
$$8:4:x = c(2: y:6)$$

skullpatrol
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