SOLUTION: A doctor�s prescription calls for a daily intake containing 70 mg of vitamin C and 50 mg of Vitamin D. Your pharmacy stocks two compounds that can be used: one contains 40% vitami

Question 870420: A doctor�s prescription calls for a daily intake containing 70 mg of vitamin C and 50 mg of Vitamin D. Your pharmacy stocks two compounds that can be used: one contains 40% vitamin C and 50% vitamin D, the other 40% vitamin C and 20% vitamin D. How many milligrams of each compound should be mixed to fill the prescription?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A doctor�s prescription calls for a daily intake containing 70 mg of vitamin C and 50 mg of Vitamin D. Your pharmacy stocks two compounds that can be used: X contains 40% vitamin C and 50% vitamin D, and Y contains 40% vitamin C and 20% vitamin D. How many milligrams of each compound should be mixed to fill the prescription?
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Vit C Equation: 0.4x + 0.4y = 70 mg
Vit D Equatiion:0.5x + 0.2y = 50 mg
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4x + 4y = 700
5x + 2y = 500
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Modify for elimination:
4x + 4y = 700
10x + 4y = 1000
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6x = 300
x = 50 mg (amt of the "X" compound needed)
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Solve for "y":
x + y = 175
50 + y = 175
y = 125 mg (amt of the "Y" compound needed)
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Cheers,
Stan H.
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