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#