A local farmer has a special variety of apples that can be processed into two types of cider: dry cider and sweet cider. The ratio of dry cider to sweet cider produced is $$2:3$$. If the farmer produces a total of $$25$$ gallons of cider, how many gallons of sweet cider does he produce?
This ratio can be expressed as:
$$\frac{dry\,cider}{sweet\,cider} =\frac{2}{3}$$
Use the total amount of cider to find the amount of each type produced.