If a:b:c=4:1:2 and a+b+c=14 then what is the value of c?

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Answer 1 · 2018-04-28T19:25:30

$4$ .

$a:b:c=4:1:2$ .

$:. a/4=b/1=c/2$ .

$:." Each Ratio"=(a+b+c)/(4+1+2)=(a+b+c)/7$ .

But, given that, $a+b+c=14$ .

$:." Each Ratio"=(a+b+c)/7=14/7=2$ .

$" In particular, "c/2=2$ .

$:. c=4$ .

Answer 2 · 2018-04-28T19:26:38

$c=4$

The variables are in the ratio of $4:1:2$ , so $a$ has to be $2c$ and $b$ has to be $c/2$ :

$2c+c/2+c=14$

$3.5c=14$

$c=4$

Answer 3 · 2018-04-28T19:29:26

We can write 1. equation as:
$a/4=b/1=c/2$
It mean:
$b=a/4$

$b=c/2$ $rArr$ $a=2*c$
Put it in the second equation:
$2*c+c/2+c=(4*c+c+2*c)/2=7/2c$
$7/2c=14$
$c=4$