Ravi mixes red and blue paint in the ratio 3 : 5. He adds 6 litres of red paint. The new ratio of red to blue paint is 3 : 4. How many litres of blue paint does Ravi have?
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Worked Solution
Step 1: Let red = 3k and blue = 5k (original ratio 3:5).
Step 2: After adding 6 L of red: red = 3k + 6. Blue stays at 5k.
Step 3: New ratio: (3k + 6) / 5k = 3 / 4.
Step 4: Cross-multiply: 4(3k + 6) = 3(5k) → 12k + 24 = 15k → 3k = 24 → k = 8.
Step 5: Blue paint = 5k = 5 × 8 = 40 litres.
Correct answer: 40
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