Fertilizer problem: A type of fertilizer is made by mixing nitrogen and phosphate in an 8 to 3 ratio. For 35 kilograms of nitrogen, how many kilograms of phosphate are needed to make the fertilizer?
Solve the Fertilizer Problem in two ways by reasoning about multiplication and division with quantities, once from the multiple-batches perspective and once from the variable-parts perspective. In each case, describe the number of kilograms of phosphate as a product A . B, where A and B are suitable whole numbers, fractions, or mixed numbers that you derive from 8, 3, and 35. Attend carefully to our definition of multiplication when discussing A B. In each case, use a math drawing to support your explanation.
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