Answer:
1. 20 tins of milk
2. Weight of the Carton = 8,4kg ot 8400g
Step-by-step explanation:
Given
Volume of a Tin = 77cm³
Weight of a tin = 5000g
Volume of Empty Carton = 1540cm³
Weight of Empty Carton = 5000g
Calculating the number of tins of milk
To do this, we have to make use of the given volumes;
And this is done as follows;
![Number = \frac{Volume\ of\ Empty\ Carton}{Volume\ of\ a\ Tin}](https://tex.z-dn.net/?f=Number%20%3D%20%5Cfrac%7BVolume%5C%20of%5C%20Empty%5C%20Carton%7D%7BVolume%5C%20of%5C%20a%5C%20Tin%7D)
Substitute 77cm³ for Volume of a Tin and 1540cm³ for Volume of an Empty Carton
![Number = \frac{1540cm^3}{77cm^3}](https://tex.z-dn.net/?f=Number%20%3D%20%5Cfrac%7B1540cm%5E3%7D%7B77cm%5E3%7D)
![Number = 20](https://tex.z-dn.net/?f=Number%20%3D%2020)
<em>Hence, 20 tins of milk will filled the empty carton</em>
Calculating the weight of the Carton after filled with tins of milk
This is calculated as thus;
Total Weight = Weight of Empty Carton + Weight of Tins of Milk
Substitute 5000g for Weight of Empty Carton
Total Weight = 5000g + Weight of Tins of Milk
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Calculating Weight of Tins of Milk
Since 20 tins of milk will fill the empty carton, the
Weight of Tins of Milk = 20 * Weight of 1 Tin of Milk
Weight of Tins of Milk = 20 * 170g
Weight of Tins of Milk = 3400g
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Substitute 3400g for Weight of Tins of Milk
![Total\ Weight = 5000g + 3400g](https://tex.z-dn.net/?f=Total%5C%20Weight%20%3D%205000g%20%2B%203400g)
![Total\ Weight = 8400g](https://tex.z-dn.net/?f=Total%5C%20Weight%20%3D%208400g)
In Kilograms:
![Total\ Weight = 8.4kg](https://tex.z-dn.net/?f=Total%5C%20Weight%20%3D%208.4kg)