The ratio of oil and kerosene in the container is 3:2. When 30 litres of mixture is taken out and replaced by kerosene, the ratio becomes 3: 5. The total quantity of the mixture in the container is:
Answer & explanation
Correct answer: option 2
Let the quantity of oil = 3x,
kerosne = 2x
Total = 5x
If 30l of mixture is taken out, it contains
30 x \(\frac{3}{5}\) = 18l of oil and
30 x \(\frac{2}{5}\) = 12l of kerosene
The new ratio,
\(\frac{3x - 18}{2x - 12 + 30}\) = \(\frac{3}{5}\)
\(\frac{3x - 18}{2x + 18}\) = \(\frac{3}{5}\)
15x - (18 x 5) = 6x + (18 x 3)
9 x = 18 x 8
x = 16
Total quanity of the mixture = 5x = 5 x 16 = 80L