Question
"In a mixture containing a total of 210 liters, the
ratio of petrol to diesel is initially 3:2. A quantity 'p' liters of petrol and 1.5p liters of diesel are introduced into the mixture in such a way that the resulting mixture has a petrol-to-diesel ratio of 5:4. What is the combined quantity of petrol and diesel added to the mixture?"Solution
ATQ, Quantity of petrol in the mixture initially = 210 × (3/5) = 126 liters Quantity of diesel in the mixture initially = 210 × (2/5) = 84 liters According to the question, (126 + p):(84 + 1.5p) = 5:4 504 + 4p = 7.5p + 420 84 = 3.5p p = 24 Quantity of petrol that is added = 24 liters Quantity of diesel that is added = 36 liters Hence Required quantity = 24 + 36 = 60 liters
More Mixture Questions
A firm sells 40 units of commodity X when its price is 10. At what price it will sell 60 units of the commodity if its price elasticity of supply is 0....
The Likelihood Ratio (LR) Test is often preferred over the Wald Test or the Lagrange Multiplier (LM) Test for hypothesis testing in models like Maximum ...
What is the range of Gini coefficient?
