flossie has $62.05. In quarters, she has 3 more than twice the number of half dollars, and 10 more dimes than quarters. how many of each coin does she have

count the coins:

q = 2h+3
d = q+10
count the values:
10d+25q+50h = 6205

Now you have three equations, and you can solve them to get

113 dimes
103 quarters
50 halves