If 3.17 kg of a drug is used to make 50,000 tablets, how many milligrams will 30 tablets contain?

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Multiple Choice

If 3.17 kg of a drug is used to make 50,000 tablets, how many milligrams will 30 tablets contain?

Explanation:
The idea here is proportional scaling: the total drug mass is distributed across a fixed number of tablets, so the amount per tablet is constant, and you scale by how many tablets you’re using. First convert everything to the same unit: 3.17 kg equals 3,170,000 mg. This amount is spread over 50,000 tablets, so each tablet contains 3,170,000 mg ÷ 50,000 tablets = 63.4 mg per tablet. For 30 tablets, multiply: 63.4 mg/tablet × 30 tablets = 1,902 mg. So, 30 tablets contain 1,902 mg of the drug.

The idea here is proportional scaling: the total drug mass is distributed across a fixed number of tablets, so the amount per tablet is constant, and you scale by how many tablets you’re using.

First convert everything to the same unit: 3.17 kg equals 3,170,000 mg. This amount is spread over 50,000 tablets, so each tablet contains 3,170,000 mg ÷ 50,000 tablets = 63.4 mg per tablet.

For 30 tablets, multiply: 63.4 mg/tablet × 30 tablets = 1,902 mg.

So, 30 tablets contain 1,902 mg of the drug.

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