Answer:
There are 50 dimes and 110-50 = 60 quarters in the collection.
Step-by-step explanation:
Let D be the number of dimes.
Then the number of quarters is (110-D).
The "value equation" is
10D + 25*(110-D) = 2000.
Simplify and solve for D:
10D + 2750 - 25D = 2000,
-15D = 2000 - 2750,
-15D = -750,
D = %28-750%29%2F%28-15%29 = 50.
