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Suppose 2 kg of sugar contains 9 × 106 crystals. How many sugar crystals are there in (i) 5 kg of sugar? (ii) 1.2 kg of sugar?

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(i) Let the number of sugar crystals in 5 kg of sugar be x. The given information in the form of a table is as follows.

Amount of sugar (in kg)25
Number of crystals9 x 106x

The amount of sugar and the number of crystals it contains are directly proportional to each other. Therefore, we obtain

Hence, the number of sugar crystals is 2.25 × 107.

(ii) Let the number of sugar crystals in 1.2 kg of sugar be y. The given information in the form of a table is as follows.

Amount of sugar (in kg)21.2
Number of crystals9 x106y

Hence, the number of sugar crystals is 5.4 x 106

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