In a recipe, a flour to sugar ratio is 2:3. If you have 8 cups of flour, how many cups of sugar are needed to maintain the ratio?

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Multiple Choice

In a recipe, a flour to sugar ratio is 2:3. If you have 8 cups of flour, how many cups of sugar are needed to maintain the ratio?

Explanation:
A ratio of 2:3 means for every 2 parts flour there are 3 parts sugar. To keep that same relationship with 8 cups of flour, figure out how many times the 2-part flour is scaled to reach 8. Since 8 is 4 times 2, the sugar part must also be scaled by 4: 3 × 4 = 12. So 12 cups of sugar are needed. Quick check: 8:12 simplifies to 2:3, which matches the original ratio.

A ratio of 2:3 means for every 2 parts flour there are 3 parts sugar. To keep that same relationship with 8 cups of flour, figure out how many times the 2-part flour is scaled to reach 8. Since 8 is 4 times 2, the sugar part must also be scaled by 4: 3 × 4 = 12. So 12 cups of sugar are needed. Quick check: 8:12 simplifies to 2:3, which matches the original ratio.

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