Question

I will give you a MEDAL if you get this right!
A pharmacist is to prepare 15 milliliters of special eye drops for a glaucoma patient. The eye-drop solution must have a 4% active ingredient, but the pharmacist only has 10% solution and 1% solution in stock. How much of each type of solution should be used to fill the prescription?

Answer 1

x+y = 15

y = 15 - x

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0.10x + 0.01y = 0.04*15

0.10x + 0.01y = 0.6

0.10x + 0.01(15 - x) = 0.6

0.10x + 0.01(15) - 0.01(x) = 0.6

0.10x + 0.15 - 0.01x = 0.6

0.09x + 0.15 = 0.6

0.09x = 0.6 - 0.15

0.09x = 0.45

x = 0.45/0.09

x = 5

Answer 2

now use this to find y

y = 15 - x

y = 15 - 5

y = 10

Answer 3

So the pharmacist needs 5 milliliters of the 10% solution and 10 milliliters of the 1% solution.

Answer 4

thank you!

Answer 5

np