1. You receive an order for Tylenol grains 15. You have available Tylenol 160 mg. in 1.6 ml. Rx? And S? Show all work
To solve this problem, we need to find the conversion factor that will allow us to convert the given unit (mg) to the desired unit (grains).
1 grain is equivalent to 64.799 milligrams (mg). Therefore, the conversion factor is:
1 grain / 64.799 mg
Now let's use this conversion factor to solve the problem.
Given:
Tylenol: 160 mg in 1.6 ml
To find the number of grains in 15 mg of Tylenol, we can set up a proportion:
160 mg / 1.6 ml = 15 mg / X grains
To solve for X (number of grains), we cross multiply and divide:
160 mg * X grains = 1.6 ml * 15 mg
160X = 24
X = 24 / 160
X = 0.15 grains
Therefore, the order for Tylenol in grains would be 0.15 grains. The prescription (Rx) would state "Tylenol grains 0.15" and the supply (S) would be "Tylenol 160 mg in 1.6 ml."
To determine if you have enough Tylenol in stock to fulfill the order, you need to compare the strength of the available Tylenol with the prescribed dosage of Tylenol grains 15.
Step 1: Convert the prescribed Tylenol dosage from grains to milligrams (mg).
- 1 grain is equal to approximately 64.8 mg.
- Therefore, 15 grains is equal to 15 * 64.8 mg = 972 mg.
Step 2: Calculate the amount of Tylenol you have available.
- The available Tylenol is 160 mg in 1.6 ml.
- To determine the amount of Tylenol in mg per ml, divide 160 mg by 1.6 ml:
160 mg / 1.6 ml = 100 mg/ml.
Step 3: Compare the prescribed dosage with the available Tylenol strength.
- The prescribed dosage is 972 mg, and the available Tylenol strength is 100 mg/ml.
- Divide the prescribed dosage by the Tylenol strength to find the required volume:
972 mg / 100 mg/ml = 9.72 ml.
Based on these calculations, you do not have enough Tylenol available to fulfill the order for 15 grains. You only have 1.6 ml of Tylenol, which is not sufficient to provide the required dosage of 9.72 ml.