Medicament

Many manufacturers produce the same type of medicament in various packages with different active substance content.

Pack 1: includes 60 pills of 600 mg of active substance per pack cost 31.5 Eur.
Pack 2: includes 100 tablets of 1200 mg of active substance per pack cost 120 Eur.

Which is the more cost-effective medicament (type 1 or 2)?

Correct answer:

x =  1

Step-by-step explanation:

$$\begin{gathered} x_1=\frac{60\cdot 600}{31.5}=\frac{8000}{7}=1142\frac{6}{7}\doteq 1142.8571\text{mg/Eur} \\ {x}_2=\frac{100\cdot 1200}{120}=1000\text{mg/Eur} \\ {x}_1>x_2 \\ x=1 \end{gathered}$$

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