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Mashcka [7]
3 years ago
10

When a jug is half- filled with marbles, it weighs 2.6 kg. The jug weighs 4 kg when it is full. Find the weight of the empty jug

.
Mathematics
2 answers:
baherus [9]3 years ago
5 0

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

Novosadov [1.4K]3 years ago
5 0

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: Jug+\frac{1}{2} Marbles=2.6

Eq. 2: Jug+Marbles=4

Now putting the Eq. 2 in the Eq. 1 we have:

Jug+\frac{1}{2} (4-Jug)=2.6

Clearing Jug:

\frac{1}{2}Jug=2.6-2

Jug=0.6*2

Jug=1.2

The jug weights empty 1.2 kg.

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