In the 1.255 kg powder with aspirin 6 parts, phenacetin 3 parts, and caffeine 1 part, how many grams of phenacetin are present?

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Multiple Choice

In the 1.255 kg powder with aspirin 6 parts, phenacetin 3 parts, and caffeine 1 part, how many grams of phenacetin are present?

Explanation:
Understanding how parts translate to actual mass helps here. The powder totals 10 equal parts (6 aspirin, 3 phenacetin, 1 caffeine). Phenacetin makes up 3 of those parts, so 30% of the total mass. Convert the total mass to grams: 1.255 kg = 1255 g. Multiply by 0.30 to get the phenacetin mass: 1255 g × 0.30 = 376.5 g. Rounding to the nearest gram gives 377 g. Therefore, the phenacetin mass is 377 g.

Understanding how parts translate to actual mass helps here. The powder totals 10 equal parts (6 aspirin, 3 phenacetin, 1 caffeine). Phenacetin makes up 3 of those parts, so 30% of the total mass.

Convert the total mass to grams: 1.255 kg = 1255 g. Multiply by 0.30 to get the phenacetin mass: 1255 g × 0.30 = 376.5 g. Rounding to the nearest gram gives 377 g.

Therefore, the phenacetin mass is 377 g.

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