Derek collects quarters that have the names of the 50 U. S. States on them. He has collected 13 different state quarters in 2.25 months. His grandfather is coming to visit him in 9 months, and he wants to show his grandfather his collection. If he continues collecting quarters at the same rate, will his collection be complete by the time his grandfather visits? Explain your answer.

Yes, his collection will be complete by the time his grandfather visits

Step-by-step explanation:

Here, we want to know if his collection would be complete by the time his grandfather visits.

From the question;

he has collected 13 different quarters in 2.25 months

At the same rate, x different quarters will be collected in 9 months

Thus, mathematically;

x * 2.25 = 13 * 9

x = (13 * 9)/2.25 = 52

Thus, at this rate he would have collected 52 quarters in 9 months.

Since he has only 50 to collect, it means his collection would be complete by the time his grandfather visits

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