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V: total volume of tomato paste

Vt : tomato in this volume

First tomato paste is 38% then Vt=0.38 x V

We want the tomato volume to be the same but the total volume to change so that to obtain 28%

Vt = 0.28 x V'

So we have 0.38 x V = 0.28 x V' thus V'/V = 0.38 / 0.28 = 19/14 = 1.357

So the volume of water to be added is about 35.7% of the total volume at the beginning

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Q: What quantity of water to be added to a tomato paste of 38 percent concentrate to 28 percent concentrate?
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