A recipe calls for a ratio of 2 cups of flour to 1 cup of sugar. If you want to use 4 cups of sugar,

Question

A recipe calls for a ratio of 2 cups of flour to 1 cup of sugar. If you want to use 4 cups of sugar, how much flour should you use?

Accepted Answer

{"content":[{"type":"paragraph","content":[{"type":"text","marks":[{"type":"bold"}],"text":"Step 1 (Identify the Ratio):"},{"text":" The recipe calls for a ratio of 2 cups of flour to 1 cup of sugar:","type":"text"}]},{"attrs":{"latex":"\frac{\text{Flour}}{\text{Sugar}} = \frac{2}{1}"},"type":"math_block"},{"type":"paragraph","content":[{"type":"text","marks":[{"type":"bold"}],"text":"Step 2 (Formulate Proportion):"},{"text":" Let ","type":"text"},{"attrs":{"latex":"x"},"type":"math_inline"},{"text":" be the number of cups of flour needed when using 4 cups of sugar. We set up the proportion:","type":"text"}]},{"attrs":{"latex":"\frac{x}{4} = \frac{2}{1}"},"type":"math_block"},{"content":[{"marks":[{"type":"bold"}],"text":"Step 3 (Solve for x):","type":"text"},{"text":" Cross-multiplying:","type":"text"}],"type":"paragraph"},{"attrs":{"latex":"x = 2 \times 4 = 8"},"type":"math_block"},{"content":[{"marks":[{"type":"bold"}],"text":"Step 4 (Conclusion):","type":"text"},{"text":" You should use exactly ","type":"text"},{"text":"8","type":"text","marks":[{"type":"code"}]},{"type":"text","text":" cups of flour."}],"type":"paragraph"}],"type":"doc"}

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