SOLUTION: Please help me with this, same question is on the test tomorrow according to the prof. Thank you so much Solve using Gauss-Jordan Elimination: As the school psychologist, you a

Question 349961: Please help me with this, same question is on the test tomorrow according to the prof. Thank you so much
Solve using Gauss-Jordan Elimination: As the school psychologist, you are consulting with the staff nutritionist about one of your student's low energy and propensity for minor illness. the nutritionist has suggested a daily routine of 350 units of vitamin C, 4200 units of Vitamin A, and 400 units of Vitamin D. She also recommends the following sources of these vitamins: Megadose Supra contains 50 units of C, 1000 units of A, and 100 units of D per capsule. Crazy Caps contains 100 units of C, 200 units of A, and 100 units of D. Formula I contains 50 units of C, 500 units of A and no Vitamin D per capsule. How many of each capsule should the student take to get the recommended dosages?
Found 2 solutions by stanbon, solver91311:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Solve using Gauss-Jordan Elimination: As the school psychologist, you are consulting with the staff nutritionist about one of your student's low energy and propensity for minor illness. the nutritionist has suggested a daily routine of 350 units of vitamin C, 4200 units of Vitamin A, and 400 units of Vitamin D.
She also recommends the following sources of these vitamins:
-------
Megadose Supra contains 50 units of C, 1000 units of A, and 100 units of D per capsule.
-------
Crazy Caps contains 100 units of C, 200 units of A, and 100 units of D.
-------
Formula I contains 50 units of C, 500 units of A and no Vitamin D per capsule.
How many of each capsule should the student take to get the recommended dosages?
===============
Equations:
Vitamin C equation: 50M + 100C + 50F = 350
Vitamin A equation: 1000M + 200C + 500F = 4200
Vitamin D equation: 100M + 100C + 0F = 400
-----------------------------------------------------
Solve the system of equation using Gauss-Jordan
---
I get:
M = 3
C = 1
F = 2
==============
Cheers,
Stan H.
==============

Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Let represent the number of pill #1.

Let represent the number of pill #2.

Let represent the number of pill #3.

Divide the first equation by 50, the second by 100, and the third by 100.

Solution set:

John

My calculator said it, I believe it, that settles it

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