Pharmacy A doctor’s prescription calls for a daily intake containing 40 milligrams (mg) of vitamin C and 30 mg of vitamin D. Your pharmacy stocks two liquids that can be used: One contains vitamin C and vitamin D. the other vitamin C and vitamin D. How many milligrams of each compound should be mixed to fill the prescription?
To find: A doctor’s prescription calls for a daily intake containing 40 milligrams (mg) of vitamin C and 30 mg of vitamin D. Your pharmacy stocks two liquids that can be used: One contains vitamin C and vitamin D, the other vitamin C and vitamin D. How many milligrams of each compound should be mixed to fill the prescription?
Answer to Problem 67AYU
50mg of first compound and 75 mg of second compound should be used.
Explanation of Solution
Given:
A doctor’s prescription calls for a daily intake containing 40 milligrams (mg) of vitamin C and 30 mg of vitamin D. Your pharmacy stocks two liquids that can be used: One contains vitamin C and vitamin D, the other vitamin C and vitamin D.
Calculation:
Let be the mg of the first liquid to be used and be mg of the second liquid to be used.
-----1
-----2
Multiplying by 10 on both sides of equation we have,
-----1
-----2
Multiplying by 2 on both sides of equation 2 we have,
-----3
Subtracting equation 3 from equation 1 we have,
Using the value of to find using equation 2, we have,
-----2
Therefore, 50mg of first compound and 75 mg of second compound should be used.
Chapter 11 Solutions
Precalculus
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