Calculate the percentage strength of hydrocortisone if you combine 30 g of 1%, 45 g of 0.5%, and 15 g of 2%. Round to the hundredth.

To calculate the percentage strength of hydrocortisone, we need to find the total amount of hydrocortisone in grams and divide it by the total weight of the mixture in grams.

Let's calculate the total amount of hydrocortisone:

For the 30 g of 1% hydrocortisone:
1% means 1 gram of hydrocortisone per 100 grams of the mixture.
So, the amount of hydrocortisone in this portion is (30 g) x (1%) = 0.30 g.

For the 45 g of 0.5% hydrocortisone:
0.5% means 0.5 gram of hydrocortisone per 100 grams of the mixture.
So, the amount of hydrocortisone in this portion is (45 g) x (0.5%) = 0.225 g.

For the 15 g of 2% hydrocortisone:
2% means 2 grams of hydrocortisone per 100 grams of the mixture.
So, the amount of hydrocortisone in this portion is (15 g) x (2%) = 0.30 g.

Now, let's calculate the total amount of hydrocortisone in the mixture:

Total hydrocortisone = 0.30 g + 0.225 g + 0.30 g = 0.825 g.

Next, calculate the total weight of the mixture:

Total weight of the mixture = 30 g + 45 g + 15 g = 90 g.

Finally, we can find the percentage strength of hydrocortisone:

Percentage strength of hydrocortisone = (Total hydrocortisone / Total weight of the mixture) x 100
= (0.825 g / 90 g) x 100 ≈ 0.9167 x 100 ≈ 91.67%

Therefore, the percentage strength of the hydrocortisone mixture would be approximately 91.67%.