Pharmacy A doctor’s prescription calls for the creation of pills that contain 12 units of vitamin B 12 and 12 units of vitamin E. Your pharmacy stocks three powders that can be used to make these pills: one contains 20 % vitamin B 12 and 30 % vitamin E; a second, 40 % vitamin B 12 and 20 % vitamin E; and a third, 30 % vitamin B 12 and 40 % vitamin E. Create a table showing the possible combinations of these powders that could be mixed in each pill. Hint: 10 units of the first powder contains 10 ( 0.2 ) = 2 units of vitamin B 12 .
Pharmacy A doctor’s prescription calls for the creation of pills that contain 12 units of vitamin B 12 and 12 units of vitamin E. Your pharmacy stocks three powders that can be used to make these pills: one contains 20 % vitamin B 12 and 30 % vitamin E; a second, 40 % vitamin B 12 and 20 % vitamin E; and a third, 30 % vitamin B 12 and 40 % vitamin E. Create a table showing the possible combinations of these powders that could be mixed in each pill. Hint: 10 units of the first powder contains 10 ( 0.2 ) = 2 units of vitamin B 12 .
Solution Summary: The author explains that a doctor's prescription calls for the creation of pills that contain 12 units of vitamin B 12 and 30 % vitamin E.
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 three powders that can be used to make these pills: one contains
vitamin
and
vitamin E; a second,
vitamin
and
vitamin E; and a third,
vitamin
and
vitamin E. Create a table showing the possible combinations of these powders that could be mixed in each pill. Hint: 10 units of the first powder contains
units of vitamin
.
Expert Solution & Answer
To determine
To find: The possible combinations of these powders that could be mixed in each pill.
Answer to Problem 88AYU
There are 12 possible combinations of these powders that could be mixed in each pill.
Explanation of Solution
Given:
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 three powders that can be used to make these pills: one contains vitamin and vitamin E; a second, vitamin and vitamin E; and a third, vitamin and vitamin E.
Calculation:
Let amount of the 1st powder required ( , E)
Let amount of the 2nd powder required ( , E)
Write an equation for each vitamin:
; (Vit )
; (Vit E)
Multiply the 2nd equation by 2, subtract the 1st equation
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
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