Penniless Pete’s piggy bank has no pennies in it, but it has 100 coins, all nickels, dimes, and quarters, whose total value is $8.35. It does not necessarily contain coins of all three types. What is the difference between the largest and smallest number of dimes that could be in the bank?
<spanclass=′latex−bold′>(A)</span>0<spanclass=′latex−bold′>(B)</span>13<spanclass=′latex−bold′>(C)</span>37<spanclass=′latex−bold′>(D)</span>64<spanclass=′latex−bold′>(E)</span>83