Solving a Word Problem: Preparing Special Eye Drops

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To solve the problem of preparing 16 milliliters of eye drops with a 5% active ingredient using 10% and 1% solutions, two equations are established. The first equation represents the total active ingredient: 0.1x + 0.01y = 0.8, where x is the volume of the 10% solution and y is the volume of the 1% solution. The second equation accounts for the total volume: x + y = 16. By solving these equations simultaneously, the pharmacist can determine the required amounts of each solution. This method ensures the correct formulation of the eye drops for the patient.
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Word problem !

Hi ,

This is a Hw question i have am stuck on i don't know how to solve it ...

A pharmacist is to prepare 16 milliliters of special eye drops for a glaucoma patient. The eye-drop solution must have a 5% active ingredient, but the pharmacist only has 10% solution and 1% solution in stock.


How much of 10% solution should be used to fill the prescription?

How much of 1% solution should be used to fill the prescription?


please help

thx
 
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convert to formulas:
The amount of active solution in each ingredient should sum to the total active solution:
x*.1 + y*.01 = 16*.05
The amount of each ingredition should sum to the total amount:
x + y = 16

Then solve.
 
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