Question

If a:b= 1:2 then find the value of (3a+b) : (4a+ 2b)
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Answer 1

Answer:

(3a + b) : (4a +2b) = 5 : 8

Step-by-step explanation:

For:

$a : b = 1 : 2$

Express these ratios into fractions:

$\frac{a}{b} = \frac{1}{2}$

Simplify:

$2a = b - - - \{eqn \: (n) \}$

For:

$(3a + b) : (4a +2 b)$

Express into fractions:

$= \frac{(3a + b)}{(4a + 2b)}$

substitute for b as 2a from equation (n):

$= \frac{(3a + 2a)}{(4a + 4a)} \\ \\ = \frac{5a}{8a} \\ \\ = \frac{5}{8}$

express into ratios:

$= 5 : 8$