Answer:
(3a + b) : (4a +2b) = 5 : 8
Step-by-step explanation:
For:
[tex]a : b = 1 : 2[/tex]
Express these ratios into fractions:
[tex] \frac{a}{b} = \frac{1}{2} [/tex]
Simplify:
[tex]2a = b - - - \{eqn \: (n) \}[/tex]
For:
[tex](3a + b) : (4a +2 b)[/tex]
Express into fractions:
[tex] = \frac{(3a + b)}{(4a + 2b)} \\ [/tex]
substitute for b as 2a from equation (n):
[tex] = \frac{(3a + 2a)}{(4a + 4a)} \\ \\ = \frac{5a}{8a} \\ \\ = \frac{5}{8} [/tex]
express into ratios:
[tex] = 5 : 8[/tex]
