Problema Solution

A doctor's prescription calls for a daily intake of liquid containing 40mg of vitamin C and 30mg of vitamin D. Your pharmacy stocks two liquids that can be used: Liquid A contains 20% vitamin C and 30% vitamin D; liquid B contains 50% vitamin C and 25% vitamin D. How many milligrams of each liquid should be mixed to fill the prescription?

Answer provided by our tutors

let


a = ml of the liquid A

b = ml of the liquid B


0.20a + 0.50b = 40


0.30a + 0.25b = 30


by solving the system of equations we find


a = 50 ml


b = 60 ml


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50 ml of the liquid A should be mixed with 60 ml of the liquid B.