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------------------------------------------------ Sergey is mixing cement, sand, and stone to make concrete. To make 8 buckets of concrete, he must use [tex]3 \frac{1}{4}[/tex] buckets of sand. If he has plenty of cement and stone, how many buckets of concrete can Sergey make with [tex]9 \frac{3}{4}[/tex] buckets of sand?

Answer :

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.

Learn more about Mathematical Ratios here:

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