A powder is prepared from a mixture with aspirin 6 parts, phenacetin 3 parts, and caffeine 1 part. If the total powder mass is 1.255 kg, how many grams of aspirin are required?

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Multiple Choice

A powder is prepared from a mixture with aspirin 6 parts, phenacetin 3 parts, and caffeine 1 part. If the total powder mass is 1.255 kg, how many grams of aspirin are required?

Explanation:
In mixtures described by parts, the mass of each component is its part count divided by the total parts, multiplied by the total mass. Here the components are in a 6:3:1 ratio, totaling 10 parts. The aspirin portion is 6/10 of the total mass. The total powder mass is 1.255 kg, which is 1255 g. So the aspirin mass is 1255 g × 6/10 = 753 g. Therefore the required amount is 753 g. The other numbers would correspond to different fractional portions (for example, 1/10 or 3/10 of the total) and do not match the 6-part share exactly.

In mixtures described by parts, the mass of each component is its part count divided by the total parts, multiplied by the total mass. Here the components are in a 6:3:1 ratio, totaling 10 parts. The aspirin portion is 6/10 of the total mass. The total powder mass is 1.255 kg, which is 1255 g. So the aspirin mass is 1255 g × 6/10 = 753 g. Therefore the required amount is 753 g. The other numbers would correspond to different fractional portions (for example, 1/10 or 3/10 of the total) and do not match the 6-part share exactly.

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