a man has $4.55 in change composed entirely of dimes and quarters. what are the maximum and minimum number of coins that he can have? it is possible for the number of dimes to equal to the number of quarters ? Solution we have, 0.1 x + 0.25y = 4.55 Max. Number of coins = y = 1 x = 43 totan number = 44 coins Minimum coins = y = 17 x = 3 TOtal coins = 20.