Suppose 2 kg of sugar contains 9×10 raised to 6 crystals. How many sugar crystals are there in (i) 5kg of sugar (ii) 1.2 kg of sugar ?

Given: 2kg of sugar contains $9\times10^6$ crystals

To find : 

I) how many sugar crystals in 5k sugar

ii) how many crystals in 1.2kg of sugar

Solution

Crystals in 2 kg of sugar =  $9\times10^6$  

Crystals in 1 kg of sugar =  $\frac{9}{2} \times10^6$ 

i)Crystals in 5 kg of sugar = $ 5 \times  \frac{9}{2} \times10^6$ 

                                               = $\frac{45}{2}  \times10^6$    

                                               =  22.5  $\times10^6$ 

Crystals in 5 kg of sugar = 22.5  $\times10^6$    

ii) Crystals in 1.2 kg of sugar = 1.2 $\times  \frac{9}{2} \times10^6$   

                                                    =  $\frac{10.8}{2}  \times 10^6$  

                                                    =  $5.4  \times 10^6$    

Crystals in 1.2 kg of sugar = $5.4  \times 10^6$

Tutorialspoint

Simply Easy Learning

Updated on: 10-Oct-2022

22 Views

Kickstart Your Career

Get certified by completing the course

Get Started