For Questions 6 to 17, show your workings clearly in the space below each question and write your answers in the spaces provided. The number of marks available is shown in brackets [ ] at the end of each question or part-question. The total mass of three parcels was 13.8 kg. Parcel B was 1.2 kg heavier than Parcel A while Parcel C was 1.2 kg lighter than Parcel A.

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Worked solution

1. Calculate the difference in mass between Parcel B and Parcel C

$\text{Difference} = 1.2 + 1.2 = 2.4\text{ kg}$

Answer

$2.4\text{ kg}$

1. Express the total mass in terms of the mass of Parcel A

Let the mass of Parcel A be $A$ .
Mass of Parcel B = $A + 1.2$
Mass of Parcel C = $A - 1.2$
Total mass = $A + (A + 1.2) + (A - 1.2) = 3A$

2. Solve for the mass of Parcel A

$3A = 13.8$
$A = 13.8 \div 3 = 4.6$

Answer

$4.6\text{ kg}$

AI analysis — may contain mistakes.

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