Nk1id
Answered

A jar filled with water weighs 10 pounds. When one half of the water was poured out, the jar and remaining water weigh 5 3/4 pounds. How much does the jar weigh?

Explain the answer and show your work.

Sagot :

Alphabetagammaid
Let x be the weight of the water and y be the weight of the jar. Then,
x + y = 10
1/2 x + y = 5 3/4

Transforming the first equation, it becomes
x = 10 - y

Substituting this to the second equation,
1/2 (10-y) + y = 5 3/4
10/2 - 1/2 y + y = 5 3/4
-1/2 y + y = 5 3/4 - 10/2
1/2 y = 5 3/4 - 5
1/2 y = 3/4
y = 6/4 or 1 1/2

Therefore, the weight of the jar is 1 1/2 pounds.


- D.E.