Question

Rx: Hydrocortisone 1.75% cream, 30 gm. You will prepare the prescription by mixing hydrocortisone 2.5% and hydrocortisone 1% cream. How much

hydrocortisone 1% cream will be needed?
O9gm
O 15 gm
O 21 gm
O 120 gm

Answer 1

To calculate the amount of hydrocortisone 1% cream needed, we can set up a proportion based on the desired concentration of 1.75%:

Let
`\displaystyle\sf x` be the amount of hydrocortisone 1% cream needed (in grams).

According to the proportion, we can set up the equation:

`\displaystyle\sf (2.5\%)/(100) / (1\%)/(100) = (1.75\%)/(100) / (x)/(30)`

Simplifying the equation:

`\displaystyle\sf (2.5)/(1) = (1.75)/((x)/(30))`

Cross-multiplying:

`\displaystyle\sf 2.5x = 1.75 * 30`

Dividing both sides by 2.5:

`\displaystyle\sf x = (1.75 * 30)/(2.5)`

`\displaystyle\sf x = 21` gm

Therefore, the amount of hydrocortisone 1% cream needed is 21 gm. So, the correct option is 21 gm.

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