How many 50 mg tablets can be produced from 10 kg of ibuprofen?

2 × 10⁵

Explanation:

The total mass of the drug, ibuprofen = 10 kg

Kilograms and grams are related as:

1 kg = 1000 g

Also,

Grams and milligrams are related as:

1 g = 1000 mg

So,

1 kg = 10⁶ g

Mass of the drug, ibuprofen = 10 × 10⁶ mg = 10⁷ mg

Given, mass of tablet = 50 mg

So, number of tablets = total mass / Mass of 1 tablet = 10⁷ mg / 50 mg = 2 × 10⁵

Number of 50 mg tablets =  2 × 10⁵

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