Question

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

different state quarters in 2.5 months. How long will it take him to collect all 50?

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,

`(x)/(50)=(2.5)/(12)\\\\x=(2.5)/(12)* 50\\\\x=10.4`

Therefore, time required is 10.7 months.

Hence, this is the required solution.