Question

A patient A receives 3 times the amount of medicine as patient B. The two doses add to 200 milligrams. What amount of medicine does each patient receive?

Answer 1

Patient A receives 150 milligrams and Patient B receives 50 milligrams

Explanation:

Patient A = 3x

Patient B = x

200 milligrams = 3x + x

200 milligrams = 4x

x = 50

Patient A = 3(50) = 150

Patient B = 50

I hope this helps!

-TheBusinessMan

Answer 2

• A = 150 milligrams

• B = 50 milligrams.

Explanation :

Let the medicine received by patient B be x.

According to the question patient A receives 3 times as much,

• So patient A receives 3x.

The total amount of medicine administered to the two patients equals to 200 milligrams.

We can write the relation as ,

`:\implies \sf \ \ \ x + 3x = 200 \\ \\ \\`

`:\implies \sf \ \ \ 4x = 200 \\ \\ \\`

`:\implies \sf \ \ \ x = (200)/(4) \\ \\ \\`

`:\implies \sf \ \ \ { \underline{ \boxed{ \bf{ \blue{x = 50}}}}} \ \bigstar \\ \\`

Therefore,

• Patient B receives 50 milligrams.

• Patient A receives 3 × 50 = 150 milligrams

━━━━━━━━━━━━━━━━━