Leaves have 50% moisture,.7% dry-basis nitrogen and C/N=50. Sludge has 75% moisture,5.6% dry-basis nitrogen and C/N=6.3. Find kg sludge/kg leaves to give mixed-waste dry-basis C/N=25,to three decimals.
Take 1 kg wet leaves and x kg wet sludge. Leaves supply $.5(.007)=.0035$ kg N and $50(.0035)=.175$ kg C. Sludge supplies $.25x(.056)=.014x$ kg N and $6.3(.014x)=.0882x$ kg C. Set $$(.175+.0882x)/(.0035+.014x)=25.$$ Then $.0875=.2618x$,so $x=.3342246$,rounded **0.334 kg wet sludge/kg wet leaves**. Moisture conversion is necessary although the target elemental ratio is on dry solids.
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