Question

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 patients doctor indicated that you should mix 130 milligrams of Medication A with 117 milligrams of Medication B. How many milligrams of Medication A should be mixed this week?

Answer 1

Answer:

60 milligrams of medication A should be used this week

Step-by-step explanation:

Given:

Last week, 130 milligrams of Medication A was mixed with 117 milligrams of Medication B

This week, 54 milligrams of medication B was used

To find:

the milligrams for medication A used this week

To determine the milligrams of medication A used, we will apply the ratio of medication A to B

Last week:

A : B = 130 : 117

This week:

A : B = A : 54

`\begin{gathered} eqating\text{ both ratios:} \\ A:B\text{ = A : }B \\ 130:\text{ 117 = A :}54 \\ \\ (130)/(117)=\text{ }(A)/(54) \\ cross\text{ multiply:} \\ 130(54)\text{ = 117\lparen A\rparen} \end{gathered}`
`\begin{gathered} A=\text{ }(130*54)/(117) \\ A=\text{ 60} \end{gathered}`

Hence, 60 milligrams of medication A should be used this week