Question

Help me set up the matrices for this! I can solve it, but having a difficult time getting the matrix set up. A pharmacist mixes together three types of vitamin tablets. Each Tablet A contains, among other things, 12 mg of niacin and 10 I.U. of vitamin E. The amounts for a tablet B are 17mg and 13 IU and for tablet C are 22mg and 35 IU. How many of each tablet if there are total of 225 tablets with a total amount of 4075mg niacin and 4975IU?

Answer 1

count the tablets and the ingredients:

a + b + c = 225
12a + 17b + 22c = 4075
10a + 13b + 35c = 4975

Now just use your matrix tools.