Top topic this week
Back to FAQs
Related FAQs
Frequently Asked Question
Questions asked by users might not always be phrased in the clearest way.
How much 2.5% hydrocortisone cream (in grams) should be mixed with 360 g of 0.25% cream to make a 1% hydrocortisone cream?
Accepted Answer
This is a classic mixture problem that can be solved using a system of equations. Here's how to approach it:
1. Define Variables:
- Let 'x' be the amount (in grams) of 2.5% hydrocortisone cream needed.
2. Set Up Equations:
- The total weight of the final mixture is x + 360 g.
- The amount of hydrocortisone in the 2.5% cream is 0.025x.
- The amount of hydrocortisone in the 0.25% cream is 0.0025
360 g = 0.9 g.
- The total amount of hydrocortisone in the final mixture is 0.01
(x + 360) g.
3. Solve for 'x':
- The total amount of hydrocortisone in the final mixture is the sum of the hydrocortisone from each cream: 0.025x + 0.9 = 0.01(x + 360)
- Simplify and solve for 'x':
- 0.025x + 0.9 = 0.01x + 3.6
- 0.015x = 2.7
- x = 180 g
Therefore, you should mix 180 g of the 2.5% hydrocortisone cream with 360 g of the 0.25% cream to make a 1% hydrocortisone cream.
Articles you might like