SOLUTION: 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 t
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Question 189486: 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 20% vitamin B12 and 30% vitamin E, the other 40% vitamin B12 and 20% vitamin E. How many units of each powder should be mixed in each pill?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
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 20% vitamin B12 and 30% vitamin E, the other 40% vitamin B12
and 20% vitamin E.
How many units of each powder should be mixed in each pill?
:
Let x = amt of the 1st powder required (20% B12, 30% E)
Let y = amt of the 2nd powder required (40% B12, 20% E)
:
Write an equation for each vitamin:
.20x + .40y = 12; (Vit B12)
.30x + .20y = 12: (Vit E)
:
Multiply the 2nd equation by 2, subtract the 1st equation from it:
.60x + .40y = 24
.20x + .40y = 12
--------------------subtraction eliminates y, find x
.4x = 12
x =
x = 30 units of the 1st power
:
Find y using eq: .2x + .4y = 12
.2(30) + .4y = 12
6 + .4y = 12
.4y = 12 - 6
.4y = 6
y =
y = 15 units of the 2nd powder
:
:
Check solution in the 2nd equation .3x + .2y = 12
.3(30) + .2(15) =
9 + 3 = 12
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