Question

In a sack of marbles there are red marbles each weighing 11.50g and green marbles which each weighing 12.70g. There are 10,051 red marbles and 24,351 green marbles. Determine the mass of the average marble in the sack. (Explain why the answer is not equal to (11.50 + 12.70) / 2 = 12.10g .

Answer 1

The mass of the average marble in the sack is 12.35 g.

Total number of marbles in the bag = number of red marbles + number of green marbles

Mass of each green marble = 12.70g

Mass of each red marble = 11.50g

Total mass of green marbles = 24,351(12.70g) = 309257.70 g

Total mass of red marbles = 10,051(11.50g) = 115586.50 g

Total mass of marbles in the sack = 309257.70 g + 115586.5 g = 424844.22 g

Total number of marbles in the sack = 24,351 + 10,051 = 34402 marbles

Therefore;

Mass of the average marble in the sack = 424844.22 g/34402 marbles

= 12.35 g

Hence, the mass of the average marble in the sack is 12.35 g

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