SOLUTION
Question 4
Step1: Write out the given information
![\begin{gathered} \text{Quantity prescribe: 6mg} \\ \text{label on the prescription =2mg per 4ml} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/ktjbl2wbwzzc81ea8556q7p2jyixor3ykb.png)
Step2: Convert the quantity prescribe to ml
![\begin{gathered} 2mg\text{ contains 4ml} \\ 6mg\text{ will contains }(6*4)/(2)=(24)/(2)=12ml \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/sha1mc9hzzn1qbiqckljyk28wunlm177iz.png)
Step3: Convert 12ml to the number of teaspoons using the conversion formula
![1ml=0.20\text{ teaspoon}](https://img.qammunity.org/2023/formulas/mathematics/college/drs1qhgsfa1r1hloraf5s5463anjhcsc34.png)
Hence
![\begin{gathered} \text{if 1ml=0.2teaspoon} \\ \text{then } \\ 12ml\text{ = 12}*0.2=12*(2)/(10)=(24)/(10)=2.4\text{ teaspoon } \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/vm01xfxy4o0voiu59uuy5nikb7zdont52o.png)
Therefore the number of teaspoons of cough medicine the patient needs to take is 2.4