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Answer 1 · 2018-02-22T01:42:52

Patient A received #150# #"milligrams"#, while Patient B received #50# #"milligrams"#.

This is a system of linear equations; write a system that satisfies this.

Let's say Patient A is #x# and Patient B is #y#.

#overbrace"3 times the amount of certain medicine as Patient B."^(3y=x)#

#overbrace"The two doses add to 200 milligrams."^(x+y=200)#

Substitute:

#3y=x#

#x+y=200#

#--------#

#3y+y=200#

#4y=200#

#y=50#

Plug in #y# to solve for #x#:

#50+x=200#

#x=150#

Patient A received #150# #"milligrams"#, while Patient B received #50# #"milligrams"#.