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Answer :
Final answer:
Option A), the combined weight of flour and sugar in the mixture can be found using the given ratio of 8 to 3. With 21 pounds of sugar, the flour would weigh 56 pounds, and the total combined weight would be 77 pounds, which is not listed among the provided options.
Explanation:
The student is asking how to find the combined weight of flour and sugar in a mixture where the ratio of flour to sugar is 8 to 3, and there are 21 pounds of sugar. To solve this problem mathematically, we can set up a conversion factor using the given ratio.
Let's call the weight of flour 'F'. According to the ratio, we have F/21 = 8/3. When we solve for 'F', we get F = (21 * 8) / 3 = 56 pounds. The combined weight of the flour and sugar would then be 56 pounds + 21 pounds = 77 pounds.
However, since 77 pounds is not one of the options provided, let's re-evaluate our calculations. We see that the combined weight should in fact be 56 pounds for the flour and 21 pounds for the sugar, which adds up to 77 pounds. This means the correct answer is not listed among the options provided, and there may be an error in the question or the options given.
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