8. 4 tins of soup have a mass of 1.8 kg 3 tins of soup and 2 packets of soup have a mass of 1420 g , Find the mass of 7 tins of soup and 5 packets of soup. Give your answer in kiloyrams.

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UpStudy AI · Accepted Answer

**Step 1: Define the variables**  
Let $$t$$ be the mass of one tin (in kg) and $$p$$ be the mass of one packet (in kg).

**Step 2: Form the equations**  
Given that 4 tins have a mass of 1.8 kg, we have:  
$$
4t = 1.8
$$

Also, given that 3 tins and 2 packets have a mass of 1420 g (which is 1.42 kg), we have:  
$$
3t + 2p = 1.42
$$

**Step 3: Solve for $$t$$**  
From the equation for the tins:  
$$
t = \frac{1.8}{4} = 0.45
$$

**Step 4: Solve for $$p$$**  
Substitute $$t = 0.45$$ into the second equation:  
$$
3(0.45) + 2p = 1.42
$$  
Calculate $$3(0.45)$$:  
$$
1.35 + 2p = 1.42
$$  
Subtract 1.35 from both sides:  
$$
2p = 1.42 - 1.35 = 0.07
$$  
Solve for $$p$$:  
$$
p = \frac{0.07}{2} = 0.035
$$

**Step 5: Find the mass of 7 tins of soup and 5 packets of soup**  
The total mass $$M$$ is given by:  
$$
M = 7t + 5p
$$

Substitute $$t = 0.45$$ and $$p = 0.035$$:  
$$
M = 7(0.45) + 5(0.035)
$$

Calculate the masses:  
$$
7(0.45) = 3.15
$$  
$$
5(0.035) = 0.175
$$

Add them together:  
$$
M = 3.15 + 0.175 = 3.325
$$

**Answer:**  
The mass of 7 tins of soup and 5 packets of soup is $$\boxed{3.325 \text{ kg}}$$.
The mass of 7 tins of soup and 5 packets of soup is 3.325 kg.

8. 4 tins of soup have a mass of 1.8 kg 3 tins of soup and 2 packets of soup have a mass of 1420 g , Find the mass of 7 tins of soup and 5 packets of soup. Give your answer in kiloyrams.

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