#### Question

Suppose 2 kg of sugar contains 9 × 10^{6} crystals.

How many sugar crystals are there in (1) 5 kg of sugar? (2) 1.2 kg of sugar?

#### Solution

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 × 10^{6} |
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 × 10^{7}

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.

Is there an error in this question or solution?

Solution 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? Concept: Concept of Direct Proportion.