Question

Derek collects quarters that have the names of the 50 U.S. states on them. He has collected 12

Answer 1

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,

$\dfrac{x}{50}=\dfrac{2.5}{12}\\\\x=\dfrac{2.5}{12}\times 50\\\\x=10.4$

Therefore, time required is 10.7 months.

Hence, this is the required solution.