You are given a compound which calls for combining 30 grams of 2.5% hydrocortisone cream with 15 grams of zinc oxide.
What is the ratio of the hydrocortisone cream to the total amount of the compound?
total amount=45 grams
amount cortizone=.0025*30
ratio=amountcortizone/total
total amount=45 grams
amount cortizone=.025*30 CORRECTION
ratio=amountcortizone/total
To find the ratio of the hydrocortisone cream to the total amount of the compound, we need to calculate the total amount of the compound first.
Given:
- Amount of hydrocortisone cream = 30 grams
- Percentage of hydrocortisone in the cream = 2.5%
- Amount of zinc oxide = 15 grams
First, let's calculate the amount of hydrocortisone in the cream:
Amount of hydrocortisone = (Percentage of hydrocortisone/100) * Amount of hydrocortisone cream
= (2.5/100) * 30 grams
= 0.025 * 30 grams
= 0.75 grams
Now, let's calculate the total amount of the compound:
Total amount = Amount of hydrocortisone + Amount of zinc oxide
= 0.75 grams + 15 grams
= 15.75 grams
Finally, let's calculate the ratio of the hydrocortisone cream to the total amount of the compound:
Ratio = Amount of hydrocortisone cream / Total amount of the compound
= 30 grams / 15.75 grams
Therefore, the ratio of the hydrocortisone cream to the total amount of the compound is approximately 1.905.