Ointment component ratio

The four-component ointment contains components A, B, C, and D. Components A and B are mixed in a ratio of 1:2, components B and C in a ratio of 3:5, and components B and D in a ratio of 4:3. In what proportion should the pharmacist mix the ointment?

Final Answer:

r = 6:12:20:9

Step-by-step explanation:

$$\begin{gathered} A:B=1:2 \\ B:C=3:5 \\ B:D=4:3 \\ B: \\ 2...\text{ prime number} \\ 3...\text{ prime number} \\ 4=2^2 \\ LCM(2,3,4)=2^2\cdot 3=12 \\ x=LCM(2,3,4)=12 \\ A:B=6:12 \\ B:C=12:20 \\ B:D=12:9 \\ r=6:12:20:9 \end{gathered}$$

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