There are several chickens and rabbits in a cage (with no other types of animals). There are 72 heads and 200 feet inside the cage. How many chickens are there, and how many rabbits?
There are 44 chickens and 28 rabbits in the cage.
Let c be the number of chickens, and r be the number of rabbits.
r + c = 72
4r + 2c = 200
To solve the equations, we multiply the first by two, then subtract the second.
2r + 2c = 144
2r = 56
r = 28
c = 44
You have two cups. One cup is filled with black coffee and another cup is filled with black tea. Both cups are filled with equal quantity of respective beverages. Take one spoonful of black tea and mix with the cup of black coffee. Then take one spoonful of black coffee and mix it with the cup of black tea.
Now tell, me which cup has more liquid in it? Does the cup of black tea has more liquid or black coffee has more liquid?
Both cups have equal quantity of respective drink. You take one spoonful from tea and mix it with coffee and vice versa.