start a basic equation n = nickel d = dimes n + d = 51 since nickels are five cents, it is .05 And since dimes are ten cents, it is .10 So the second equation is .05n + .10d = 4.15 If n + d = 51, than n = 51 - d plug that into the second equation .05(51-d) + .10d = 4.15 Solve the equation d = 32 Plug that into n = 51 - d(32) to get 19 32 dimes and 19 nickels