NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 1: Number System - Problems and Solutions
Question 169

Question. 169

A container has 35874 litres cold drink. How many bottles of 200 ml each?

Answer:

179370 bottles

Detailed Answer with Explanation:

Step 1: Convert litres to millilitres.

\(1\text{ litre} = 1000\text{ ml}\)

\(35874\text{ litres} = 35874 \times 1000\text{ ml}\)

\(= 35\,874\,000\text{ ml}\)

Step 2: One bottle holds 200 ml.

So, number of bottles \(= \dfrac{\text{total ml}}{\text{ml per bottle}}\)

\(= \dfrac{35\,874\,000}{200}\)

Step 3: Divide in easy parts.

First cancel two zeros by dividing both by \(100\):

\(\dfrac{35\,874\,000}{200} = \dfrac{358\,740}{2}\)

Now divide by \(2\):

\(\dfrac{358\,740}{2} = 179\,370\)

Therefore, \(179\,370\) bottles are needed.

Quick check: \(179\,370 \times 200 = 35\,874\,000\text{ ml} = 35\,874\text{ litres}\). Correct.

NCERT Exemplar Solutions Class 6 – Mathematics – Unit 1: Number System – Problems and Solutions | Detailed Answers