By the end of 2007, savings due to Metro trains were: 33000 tonnes of CNG, 3300 tonnes of diesel and 21000 tonnes of petrol. Find the fraction of (i) diesel saved to petrol saved; (ii) diesel saved to CNG saved.
(i) \(\dfrac{11}{70}\), (ii) \(\dfrac{1}{10}\)
Idea: “Diesel to Petrol” means \(\dfrac{\text{diesel}}{\text{petrol}}\). “Diesel to CNG” means \(\dfrac{\text{diesel}}{\text{CNG}}\).
(i) Diesel to Petrol
Diesel = 3300 tonnes, Petrol = 21000 tonnes
Make the fraction:
\(\dfrac{3300}{21000}\)
Reduce step by step:
Divide top and bottom by 100
\(\dfrac{3300}{21000} = \dfrac{33}{210}\)
Now divide by 3
\(\dfrac{33}{210} = \dfrac{11}{70}\)
So, the fraction is \(\dfrac{11}{70}\).
(ii) Diesel to CNG
Diesel = 3300 tonnes, CNG = 33000 tonnes
Make the fraction:
\(\dfrac{3300}{33000}\)
Reduce step by step:
Divide top and bottom by 100
\(\dfrac{3300}{33000} = \dfrac{33}{330}\)
Now divide by 33
\(\dfrac{33}{330} = \dfrac{1}{10}\)
So, the fraction is \(\dfrac{1}{10}\).
Final Answers: (i) \(\dfrac{11}{70}\), (ii) \(\dfrac{1}{10}\)