You need to give 6mg of a drug, The drug on hand has a concentration of 24mg per ounce. How many teaspoons will you give?
one ounce = 6 teaspoons
6/24 = x/6
Solve for x.
Is the answer 1.5 tsp
To calculate how many teaspoons of the drug you need to give, you need to convert the amount in milligrams to ounces. Then, you can use the concentration of the drug to determine the volume in teaspoons. Here's how you can do it:
Step 1: Convert milligrams to ounces
Since there are 28.3495 grams in an ounce, you can divide the amount in milligrams by 1000 to convert it to grams, and then divide by 28.3495 to convert grams to ounces. In this case, you have 6 milligrams, so the calculation would be:
6 mg / 1000 = 0.006 grams
0.006 g / 28.3495 g/oz = 0.00021134 ounces
Step 2: Determine the volume in teaspoons using the concentration
The concentration of the drug is given as 24 mg per ounce. You can set up a proportion to find the volume in teaspoons. Let's call the volume in teaspoons "x."
24 mg / 1 oz = 6 mg / 0.00021134 oz
Cross-multiplying, you get:
24 mg * 0.00021134 oz = 6 mg * 1 oz
Simplifying the equation, you get:
0.00507136 = 6x
And finally, solving for "x":
x = 0.00507136 / 6 ≈ 0.000845226
Therefore, you would need to give approximately 0.000845226 teaspoons of the drug to administer 6 mg.