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The doctor orders 500ml of 30% alcohol. you have a 50% solution of alcohol and sterile water in stock. how much of each would you use?

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To prepare a 500mL solution of 30% alcohol, you will need to dilute the alcohol you currently possess.

What you have:
50% alcohol
sterile water

500mL*.30 = 150mL of the solution should be pure alcohol. Knowing you already have a 50% concentration, just prepare 300mL of 50% alcohol and 200mL of sterile water. Mix the two and you'll get a 500mL solution of 30% alcohol.