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Answer :
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Final answer:
The number of buckets of concrete Sergey can make with 9 3/4 buckets of sand can be determined by setting up a ratio and solving it via cross multiplication.
Explanation:
This is a mathematical problem involving ratios. From the question, we can understand that Sergey uses 3 1/4 buckets of sand to make 8 buckets of concrete. This sets up the ratio 8 buckets of concrete to 3 1/4 buckets of sand, or in simplified form, 8:3.25.
To find out how many buckets of concrete Sergey can make with 9 3/4 buckets of sand, we can use cross multiplication. So, (8 / 3.25) = (x / 9.75) where x is the number of buckets of concrete he can make. Solving this equation will provide the answer.
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