SOLUTION: Martin and Oscar share I L of milk. If Martin gives 50 mL of his share to Oscar, they will have the same volume of milk. Find the original volume of milk that Oscar gets.
Algebra ->
Equations
-> SOLUTION: Martin and Oscar share I L of milk. If Martin gives 50 mL of his share to Oscar, they will have the same volume of milk. Find the original volume of milk that Oscar gets.
Log On
Question 1169605: Martin and Oscar share I L of milk. If Martin gives 50 mL of his share to Oscar, they will have the same volume of milk. Find the original volume of milk that Oscar gets. Answer by ikleyn(52778) (Show Source):
It can be solved formally, but the answer is clear/self-evident from the description:
ANSWER. Martin has 550 mL initially; Oscar has 450 mL initially.
The formal solution is below.
From the condition, you have this system of equations
M + O = 1000 mL (1)
M - 50 = O + 50 (2)
Add the equations. You will get
2M + O - 50 = 1000 + O + 50.
Simplify
2M = 1000 + 50 + 50
2M = 1100
M = 1100/5 = 550.
Then from equation (1)
O = 1000 - M = 1000 - 550 = 450.
as it was predicted at the very beginning.
