If a:b:c is 5:3:4 then the ratio (a+b+c):c is equal
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Answer:
(a+b+c)=5x+3x+4x.
=12x
the ratio is (a+b+c):c=12x:4x.
3:1.
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Concept:
Ratio is the comparison between two or more number or mathematical quantities etc.
Given:
Given that, the ratio of a:b:c is given by 5:3:4.
Find:
We have to find the ratio of the term (a+b+c):c.
Solution:
Given that the initial ratio between a:b:c is 5:3:4
Let the a be equal to 5k, where k is the non zero constant.
b equal to 3k and c equal to 4k.
Then in this way the value of (a+b+c) = (5k+3k+4k) = (5+3+4)k = 12k
Then the ratio of the term (a+b+c):c is given by,
= (a+b+c) : c
= 12k : 4k
= 12 : 4 (eliminating k)
= 3 : 1
Hence the ratio of (a+b+c):c is given by 3:1.
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