Multiple choice

A 60-litre mixture contains oil and kerosene in the ratio 2 : 3. How much oil must be added so that the resulting mixture contains oil and kerosene in the ratio 3 : 2?

  1. 20 litres

  2. 30 litres

  3. 40 litres

  4. 50 litres

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Initial: Oil = 24, Kerosene = 36. Let x be oil added. (24+x)/36 = 3/2. 48 + 2x = 108. 2x = 60, x = 30.

AI explanation

In the initial 60-litre mixture, oil is (2/5) * 60 = 24 litres and kerosene is 36 litres. Let x be the amount of oil to add so that the new ratio of oil to kerosene becomes 3:2; this gives the equation (24 + x) / 36 = 3/2. Solving this yields 48 + 2x = 108, meaning 2x = 60 and x = 30. You must add 30 litres of oil.

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