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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? - CBSE Class 8 - Mathematics

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Question

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?

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 × 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.

  Is there an error in this question or solution?

APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 8 (2018 to Current)
Chapter 13: Direct and Inverse Proportions
Ex. 13.10 | Q: 7 | Page no. 208

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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.
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