You have Tylenol, 325 mg/tablet. You need to give 975 mg of Tylenol. How many tablets should you give?Show all work using dimensional analysis
To determine how many tablets of Tylenol to give, we can use the conversion factor of 325 mg per 1 tablet.
Given: 1 tablet = 325 mg
To find: How many tablets are needed for 975 mg?
Solution:
Step 1: Set up the conversion factor:
1 tablet / 325 mg
Step 2: Multiply the given amount (975 mg) by the conversion factor:
975 mg * (1 tablet / 325 mg)
Step 3: Simplify the expression:
975 mg / 325 mg
Step 4: Cancel out the units:
975 / 325
Step 5: Calculate the value:
3
Therefore, you would need to give 3 tablets of Tylenol to reach a total of 975 mg.
To determine how many tablets of Tylenol should be given to reach a dosage of 975 mg, we can use dimensional analysis.
Step 1: Start with the given information.
Given: 1 tablet = 325 mg
Step 2: Set up the dimensional analysis equation.
We want to find the number of tablets needed, so we start with the given dosage of 975 mg and set it up as a fraction:
975 mg
---------
1
Step 3: Use the given conversion factor to cancel out the unit of mg and replace it with tablets.
Since 1 tablet equals 325 mg, we can set up the conversion factor:
1 tablet
----------
325 mg
We align the units so that mg cancels out, leaving us with the desired unit of tablets.
Step 4: Solve the equation.
To solve, we multiply across the numerator and then divide by the denominator:
975 mg * 1 tablet
--------------------
1 * 325 mg
975 mg * 1 tablet
--------------------
325 mg
This simplifies to:
3 tablets
So, to reach a dosage of 975 mg, you would need to give 3 tablets of Tylenol.