When a jug is 1/5 full and it weighs 250 grams next it 4/5 full and weighs 550 grams what is the weight of the jug?

X=weight of the jug

y=witht of liquid when the jug is full

we suggest this system of equations:

x+y/5=250

x+4y/5=550

we solve this system of equations by equalization method.

x=250-y/5

x=550-4y/5

250-y/5=550-4y/5

least common multiple=5

1250-y=2750-4y

-y+4y=2750-1250

3y=1500

y=1500/3

y=500

x=250-y/5

x=250-500/5

x=250-100

x=150

Answer: weight of the jug = 150grams.