The compositions of three powdered drink mixes are shown in the table below. Drink Mix Composition Mix AMix BMix CCitric Acid0.100.150.20Flavoring0.100.050.10Sugar0.800.800.70Xavier needs to create 100 grams of a drink mix containing 18% citric acid, 8% flavoring, and 74% sugar. How much of Mix C should he use?

Let A, B, and C be the amounts in grams of each mix. The flavoring target gives 0.1A + 0.05B + 0.1C = 8; since A + B + C = 100, this simplifies to B = 40. Using the citric acid target, 0.1A + 0.15B + 0.2C = 18, and substituting A = 60 − C and B = 40 gives C = 60. Xavier should use 60 grams of Mix C, choice D.

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