SOLUTION: A doctor's prescription for a daily intake of liquid containing 40 mg of vitamin C and 30 mg of vitamin D. Your pharmacy stocks two liquids that can be used. One contains 20% of vi
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Question 373827: A doctor's prescription for a daily intake of liquid containing 40 mg of vitamin C and 30 mg of vitamin D. Your pharmacy stocks two liquids that can be used. One contains 20% of vitamin C and 30% vitamin D and the other contains 40% of vitamin C and 20% vitamin D. How many milligrams of each liquid should be mixed to fill the prescription?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = mg of the 1st liquid to be used
Let = mg of the 2nd liquid to be used
given:
(1)
(2)
-----------------------
Multiply both sides by .
(1)
(2)
Multiply both sides of (2) by
and subtract (1) from (2)
(2)
(1)
and, since
(2)
50 mg of the 1st liquid and 75 mg of the 2nd liquid
should be used
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