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A recipe calls for 3 cups of wheat and white flour combined. If 3/8 of this is wheat flour, how many cups of white flour are needed?
Detailed Explanation
If $$\frac{\mathrm{3} }{\mathrm{8}}$$ of the combined wheat and white flour is wheat flour, then the remaining $$\frac{\mathrm{5} }{\mathrm{8}}$$ must be white flour. Let's calculate the amount of white flour needed:
Total flour = 3 cups
Wheat flour = $$\frac{\mathrm{3} }{\mathrm{8}}$$ × Total flour = $$\frac{\mathrm{3} }{\mathrm{8}}$$ × 3 cups = $$\frac{\mathrm{9} }{\mathrm{8}}$$ cups

Since the total flour is a combination of wheat and white flour, the amount of white flour is given by:
White flour = Total flour - Wheat flour = 3 cups - $$\frac{\mathrm{9} }{\mathrm{8}}$$ cups

To compute the subtraction, we need a common denominator:
White flour = $$\frac{\mathrm{24} }{\mathrm{8}}$$ - $$\frac{\mathrm{9} }{\mathrm{8}}$$ = $$\frac{\mathrm{15} }{\mathrm{8}}$$ cups

Therefore, you would need $$\frac{\mathrm{15} }{\mathrm{8}}$$ cups (or $$1\frac{\mathrm{7} }{\mathrm{8}}$$ cups) of white flour for the recipe.
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