The average weight of 10 apples is 0.4 kg

• Averages

The average weight of 10 apples is 0.4 kg. If the heaviest and lightest apples are taken out, the average is 0.41 kg. If the lightest apple weights 0.2 kg, what is the weight of heaviest apple?

Solution

Number of apples = 10; Average = 0.4

Total weight of the apples = 0.4 × 10 = 4 kg.

Weight of apples except heaviest and lightest = 0.41 × 8 = 3.28 kg

∴ Heaviest + lightest = 4 – 3.28 = 0.72 kg.

It is given that weight of the lightest apple = 0.2 kg.

∴ Weight of the heaviest apple is 0.72 – 0.2 = 0.52 kg.