An analgesic mixture is 37.5% aspirin by mass. How many grams of the mixture are needed to provide 325 mg aspirin. Make sure to show your work.
(0.325/grams)*100 = 37.5
Solve for grams.
Thank you so much!
To find out the amount of the analgesic mixture needed to provide 325 mg (milligrams) of aspirin, we'll use the information that the mixture is 37.5% aspirin by mass. Here are the steps to calculate the required amount:
Step 1: Establish the equation:
Let "x" be the amount of the analgesic mixture (in grams) needed to provide 325 mg of aspirin.
Step 2: Convert percentages to decimal form:
37.5% is equal to 0.375 (by dividing by 100).
Step 3: Set up the equation based on the concentration:
0.375 * x = 325 mg
Step 4: Convert milligrams to grams:
Since the given mass of the mixture in the question is in grams, we need to convert the aspirin amount from milligrams to grams. There are 1000 mg in 1 gram, so 325 mg is 325/1000 = 0.325 g.
Step 5: Solve for x:
0.375 * x = 0.325 g
Divide both sides of the equation by 0.375 to isolate x:
x = 0.325 g / 0.375
x = 0.8667 g (rounded to four decimal places)
Therefore, approximately 0.8667 grams of the analgesic mixture is needed to provide 325 mg of aspirin.