The average mass of Bags W and X is 25 kg. The average mass of Bag X and Bag Y is 30 kg. The average mass of Bag Y and Bag Z is 28 kg. Each statement below is either true, false or not possible to tell from the information given. For each statement, put a tick (✓) in the correct column.

1. Find the total mass of Bag W and Bag X

$\text{Total mass of W and X} = 25 \times 2 = 50\text{ kg}$

2. Find the total mass of Bag Y and Bag Z

$\text{Total mass of Y and Z} = 28 \times 2 = 56\text{ kg}$

3. Calculate the total mass of all 4 bags and evaluate the statement

$\text{Total mass of W, X, Y, and Z} = 50 + 56 = 106\text{ kg}$
Since $106\text{ kg} \neq 166\text{ kg}$, the statement is False.

1. Find the total mass of Bags W and X, and Bags Y and Z.

Total mass of W and X $= 25 \times 2 = 50$ kg
Total mass of Y and Z $= 28 \times 2 = 56$ kg

2. Find the total mass of all 4 bags.

Total mass of W, X, Y, and Z $= 50 + 56 = 106$ kg

3. Find the total mass of Bags X and Y.

Total mass of X and Y $= 30 \times 2 = 60$ kg

4. Find the total mass of Bags W and Z.

Total mass of W and Z $= \text{Total of all 4 bags} - \text{Total of X and Y}$
Total mass of W and Z $= 106 - 60 = 46$ kg

5. Calculate the average mass of Bags W and Z and evaluate the statement.

Average mass of W and Z $= 46 \div 2 = 23$ kg
Since $23 \text{ kg} \neq 46 \text{ kg}$, the statement is False.