Question

Question #4d58b

Answer 1

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

Explanation:

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"`.