Time taken to collect 12 different state quarters is 2.5 months.
Now , we need to find time taken to collect all 50 state quarters.
Let , time required is x.
So,
[tex]\dfrac{x}{50}=\dfrac{2.5}{12}\\\\x=\dfrac{2.5}{12}\times 50\\\\x=10.4[/tex]
Therefore, time required is 10.7 months.
Hence, this is the required solution.
