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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.
Solved.