To maintain the 12g:9g ratio for Gui Zhi to Bai Shao, if Gui Zhi is 24g, Bai Shao should be?

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Multiple Choice

To maintain the 12g:9g ratio for Gui Zhi to Bai Shao, if Gui Zhi is 24g, Bai Shao should be?

Explanation:
Keep the two herbs in a 4:3 proportion, since 12:9 simplifies to 4:3. That means for every 4 parts Gui Zhi there should be 3 parts Bai Shao. If Gui Zhi is 24 g, the scale factor is 24 ÷ 4 = 6. Bai Shao should be 3 × 6 = 18 g. Equivalently, Bai Shao = Gui Zhi × (3/4) = 24 × 0.75 = 18 g. Using any of the other amounts would disrupt the established 4:3 ratio.

Keep the two herbs in a 4:3 proportion, since 12:9 simplifies to 4:3. That means for every 4 parts Gui Zhi there should be 3 parts Bai Shao. If Gui Zhi is 24 g, the scale factor is 24 ÷ 4 = 6. Bai Shao should be 3 × 6 = 18 g. Equivalently, Bai Shao = Gui Zhi × (3/4) = 24 × 0.75 = 18 g. Using any of the other amounts would disrupt the established 4:3 ratio.

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