SOLUTION: A pharmacist has two suppliers of vitamin supplements. The strong brand contains 25% vitamin B and 15% vitamin C. The healthy brand contains 15% vitamin B and 20% vitamin c. How ma
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Question 887359: A pharmacist has two suppliers of vitamin supplements. The strong brand contains 25% vitamin B and 15% vitamin C. The healthy brand contains 15% vitamin B and 20% vitamin c. How many milligrams of each brand should the pharmacist use make a mixture that contains 117.5 mg of vitamin B and 120 mg of vitamin C? Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! Let = mg of strong brand needed
Let = mg of healthy brand needed
----------------------------------- = mg of vitamin B in mg of strong brand = mg of vitamin C in mg of strong brand
---------------------------------------------------- = mg of vitamin B in mg of healthy brand = mg of vitamin C in mg of healthy brand
----------------------------------------------------
(1)
(2)
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(1)
(2)
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Divide both equations by
(1)
(2)
------------------------
Multiply both sides of (1) by
Multiply both sides of (2) by
Then subtract (2) from (1)
(1)
(2)
---------------------------
and
(2)
(2)
(2)
(2)
(2)
---------------
200 mg of strong brand is needed
450 mg of healthy brand is needed
---------------------------------
check:
(1)
(1)
(1)
(1)
OK
You can check the other equation
