Respuesta :
the difference between a full jug and a jug that is half full will give us the weight of the marbles only in a half full jug:
4 - 2.6 = 1.4 kg
In a half full jug that weighs 2.6 kg, the weight of the marbles is 1.4 kg
the weight of the jug = 2.6 - 1.4 = 1.2 kg
Answer:
The jug weights empty 1.2 kg.
Step-by-step explanation:
In this case we can define two equations based on the description to find the weight of the empty jug, this is:
Eq. 1: [tex]Jug+\frac{1}{2} Marbles=2.6[/tex]
Eq. 2: [tex]Jug+Marbles=4[/tex]
Now putting the Eq. 2 in the Eq. 1 we have:
[tex]Jug+\frac{1}{2} (4-Jug)=2.6[/tex]
Clearing Jug:
[tex]\frac{1}{2}Jug=2.6-2[/tex]
[tex]Jug=0.6*2[/tex]
[tex]Jug=1.2[/tex]
The jug weights empty 1.2 kg.