Pharmacy A doctor’s prescription calls for the creation of pills that contain 12 units of vitamin and 12 units of vitamin E. Your pharmacy stocks two powders that can be used to make these pills: One contains vitamin and vitamin E, the other vitamin and vitamin E. How many units of each powder should be mixed in each pill?
To find: A doctor's prescription calls for the creation of pills that contain 12 units of vitamin B12 and 12 units of vitamin E. Your pharmacy stocks two powders that can be used to make these pills: One contains vitamin B12 and vitamin E, the other vitamin B12 and vitamin E. How many units of each powder should be mixed in each pill?
Answer to Problem 68AYU
30 units of one powder and 15 units of another powder to be mixed in each pill.
Explanation of Solution
Given:
A doctor's prescription calls for the creation of pills that contain 12 units of vitamin B12 and 12 units of vitamin E. Your pharmacy stocks two powders that can be used to make these pills: One contains vitamin B12 and vitamin E, the other vitamin B12 and vitamin E.
Calculation:
Let one powder be and another powder be .
-----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, 30 units of one powder and 15 units of another powder to be mixed in each pill.
Chapter 11 Solutions
Precalculus
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