Suppose 2 kg of sugar contains 9 × 106 crystals.
How many sugar crystals are there in (1) 5 kg of sugar? (2) 1.2 kg of sugar?
1) 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)||2||5|
|Number of crystals||9 × 106||x|
The amount of sugar and the number of crystals it contains are directly proportional to each other. Therefore, we obtain
`2/(9xx10^6) = 5/x`
x = `(5xx9xxxx10^6)/2` = `2.25 xx 10^7`
Hence, the number of sugar crystals is 2.25 × 107
2) 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.
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