Problema Solution
Theophylline, an asthma medicine, is to be prepared from an elixir with a drug concentration of 5 mg/mL and a cherry-flavored syrup that is to be added to hide the taste of the drug. How much of each must be used to prepare 100 milliliters of solution with a drug concentration of 4 mg/mL?
Answer provided by our tutors
let
x = mL elixir with a drug concentration of 5 mg/mL
y = mL of the syrup that has 0 mg/mL drug concentration
x + y = 100
5x + 0*y = 4*100
by solving the above system of equations we find:
x = 80 mL
y = 20 mL
click here to see the step by step solution of the system of equations:
80 mL of elixir and 20 mL of syrup should be used.