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    10A+9B+7C+3D+5E=229 and a,b,c,d,e can be whole numbers 1-10, How many Solutions?

    If 10A+9B+7C+3D+5E=229 and a,b,c,d,e can be a whole numbers 1-10 How many possible solutions are there? ***I was thinking to break down into prime factors but this doesn't help as the numbers are added together. Thanks for the help!