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Answer :
To calculate the amount of sugar beet needed to produce 50 kilos of sugar consumed by a family of four in one year, we need to consider that the sugar content of sugar beet is 8% of its weight.
The 8% sugar content means that for every 100 kilos of sugar beet, 8 kilos of sugar can be extracted. Therefore, to produce 50 kilos of sugar, we would need to process a certain amount of sugar beet.
To find this amount, we can set up a proportion: 8 kilos of sugar is to 100 kilos of sugar beet as 50 kilos of sugar is to x kilos of sugar beet. Cross-multiplying and solving for x, we find that x = (50 kilos * 100 kilos) / 8 kilos = 625 kilos.
Hence, approximately 625 kilos of sugar beet would be needed to produce the 50 kilos of sugar consumed by a family of four in one year.
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