## waheguru 2 years ago 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?

1. wio

It turns out into a system of equations.

2. wio

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

3. wio

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

4. waheguru

where does the c come from?

5. skullpatrol

The alphabet.

6. wio

c is there to represent the fact that two proportional things are going to be equal if you multiply one of them by c.

7. skullpatrol

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

8. waheguru

I know a/b = c/d and a*d=b*c but this euqstion had 3 terms which is confusing me

9. skullpatrol

Have you solved for c?

10. waheguru

umm.

11. waheguru

im not sure how

12. wio

$8=2c$

13. wio

$\frac{8}{2} = \frac{4}{y} \\ \frac{8}{2} = \frac{x}{6}$

14. waheguru

but how does 8 = 2c?

15. skullpatrol

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

16. skullpatrol

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

17. skullpatrol

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