As a nurse, part of your daily duties is to mix medications in the proper proportions for your patients. For one of your regular patients, you always mix Medication A with Medication B in the same proportion. Last week, your patient's doctor indicated that you should mix 90 milligrams of Medication A with 63 milligrams of Medication B. However this week, the doctor said to only use 35 milligrams of Medication B. How many milligrams of Medication A should be mixed this week?

Respuesta :

Given:

The Last week proportion is

[tex]\begin{gathered} A=90 \\ \\ B=63 \end{gathered}[/tex]

This week proportion is

[tex]B=35[/tex]

Find-:

How many milligrams of madication A

Explanation-:

The proportion is same for both week

[tex](\frac{A}{B})_{\text{ Last week}}=(\frac{A}{B})_{\text{ This week}}[/tex]

So, the value is:

[tex]\begin{gathered} \frac{90}{63}=\frac{A}{35} \\ \\ A=\frac{90}{63}\times35 \end{gathered}[/tex]

The A is:

[tex]\begin{gathered} A=\frac{90}{63}\times35 \\ \\ A=\frac{3150}{63} \\ \\ A=50 \end{gathered}[/tex]

The medication A is 50 milligram for this week