So called $$corn extract$($obtained as a waste of corn starch production$)$ contains $50$ wt$.\%$ of

water, $2\mathrm{.}5$ wt$.\%$ of fructose and the rest are insoluble parts of corn. The beet molasses

contains $50$ wt$.\%$ of sucrose, $1$ wt$.\%$ of fructose, $18$ wt$.\%$ of water and the rest are insoluble

particles. The extract should be mixed with the molasses and water in an agitated tank. For

one batch is fed $125$ kg of corn extract and $45$ kg of beet molasses. What amount of water

must be fed into the batch to obtain a mixture with $2$ wt$.\%$ of fructose? What is the content

of sucrose in the batch after mixing?