Your patient is to receive amoxicillin oral suspension 500 mg q8h. Your medication cart has amoxicillin 125 mg in 5 ml. What is s without the name of the medication ? Show all work

To determine the desired amount of medication (s) without the name, we can use the following equation:

Desired amount = (Dose prescribed × Volume per dose) / Strength of medication

Given information:
Dose prescribed = 500 mg
Volume per dose = 5 ml
Strength of medication = 125 mg/5 ml

Plugging the values into the equation:

s = (500 mg × 5 ml) / (125 mg/5 ml)

Now, divide:

s = (500 mg × 5 ml) / (125 mg/5 ml)
s = (2500 mg * ml) / (125 mg * ml/5 ml)
s = 2500 / (125/5)
s = 2500 / 25
s = 100

Therefore, the desired amount of medication (s) without the name is 100.

To calculate how much medication to administer, we can use the equation:

Strength of available medication (S1) × Quantity of available medication (Q1) = Desired strength (S2) × Desired quantity (Q2)

Given:
S1 = 125 mg/5 ml
Q1 = 5 ml
S2 = 500 mg
Q2 = Unknown (let's assume it as X ml)

Plugging in the values:

125 mg/5 ml × 5 ml = 500 mg × X ml

Now, let's solve for X:

125 × 5 = 500 × X
625 = 500X
625/500 = X
1.25 = X

Therefore, without the name of the medication, the desired quantity (Q2) would be 1.25 ml.