Set up the system of equations (3 equations total) with 3 variables (x,y,z) Define each variable....?

I dont want this to be solved, simply give me the 3 variables and the three equations, I can do the rest. Here is the problem:





A person takes three daily vitamin supplements, B,C and E, via three types of pills, regular, extra-strength, and fortified. Each regular pill contains 10 units of B, 20 units of C, and 20 units of E. Each extra-strength pill contains 20 units of B, 60 units of C, and 10 units of E. Each fortified pill contains 10 units of B, 20 units of C, and 40 units of E. HOW MANY PILLS of each type should be taken, in order to achied 50 units of B, 120 units of C, and 90 units of E.


Thank you very much!!!!!

Set up the system of equations (3 equations total) with 3 variables (x,y,z) Define each variable....?
Its not so hard if you break down the question. What are the constants? ans. B, C, and E


so what change in each equation - the question tells us that it is the strength of each pill. So lets call each pill x, y and z





so now you just need to figure out the equation - because it isnt that hard when you can see it - I'll just give you the first, and you can use that to figure out the rest.


x= regular pill = 10B + 20C + 20E


when you have the 3 pills equations then you can figure out how to get 50 units of B etc. I can see the answer to how many pills by just looking at the 3 equations written in a row - so its not that hard to see, once you've got them written down.
Reply:b+c=a

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