Solution:
The question asks for the ratio of $$2a$$ to $$b$$ given that the ratio of $$a$$ to $$b$$ is $$1:5$$.Given:\[\frac{a}{b} = \frac{1}{5}\]To find:\[\frac{2a}{b}\]To calculate this, you can multiply both sides of the first equation by 2. This will give you the ratio of $$2a$$ to $$b$$.\[\frac{2a}{b} = \frac{1 \times 2}{5}\]\[\frac{2a}{b} = \frac{2}{5}\]So, the ratio of $$2a$$ to $$b$$ is $$2:5$$.The correct answer would be:C) $$2$$ to $$5$$