Question

An order calls for 150g of a custom 2:3:5 topical ointment. The ointment consists of three ingredients in the ratio 2:3:5. How much of each ingredient is needed to prepare the 150g ointment?

Answer 1

To prepare the 150g ointment with a ratio of 2:3:5 for the ingredients, we can use a proportion and equation to determine the mass of each ingredient.

Step-by-step explanation:

To determine how much of each ingredient is needed to prepare the 150g ointment, we can use the given ratio of 2:3:5. Let's assume the ingredients are X, Y, and Z, respectively.

We can set up the following proportion based on the ratio:

X/2 = Y/3 = Z/5

Using this proportion, we can solve for X, Y, and Z by multiplying the ratio by a constant. The total of X, Y, and Z should add up to 150g, so we can set up the equation:

X/2 + Y/3 + Z/5 = 150

By solving this equation, we can find the mass of each ingredient required to prepare the ointment.