Question

a pharmacist mixes 5g of a powder with 45cm³ of water to make a prescription medicine. how much powder should she mix with 81cm² of water to make a larger amount of the same medicine?​

Answer 1

She should mix 9 g of powder

Explanation:

From the question, we can have a ratio for powder to water

we have 5 g of powder mixed with 45 cm^3 of water

So, for every 1 g, we have 5g/45 cm^3

we have 9 cm^3

So let’s relate this to the bigger water mix

Recall from above; we have the mixing as 1 g per 9 cm^2 of water

1g per 9 cm^2

x g per 81 cm^2

81 * 1 = x * 9

9x = 81

x = 81/9

x = 9g