x dimes and (60-x) nickels give us THIS money equation 10x + 5*(60-x) = 430 cents. Simplify and find x 10x + 300 - 5x = 430 5x = 430 - 300 5x = 130 x = 130/5 = 26. ANSWER. 26 dimes and 60-26 = 34 nickels.