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An alloy contains 4 parts bronze and 6 parts copper. How much part of mixture should be drawn out and replaced with bronze so that the ratio of bronze to copper gets reversed in new mixture?
2/5
1/3
1/4
10/3
Total = 4+ 6 = 10 The old ratio is 4/6 = 2/3, so new ratio of bronze to copper should be 3/2 Let x kg of mixture is drawn out and then x kg of bronze added. So Bronze is now = 4 – (4/10)*x + x = 4 + (3x/5) Copper is now = 6 – (6/10)*x = 6 – (3x/5) Now [4 + (3x/5)] / [6 – (3x/5)] = 3/2 Solve, x = 10/3 So part of mixture drawn out is (10/3)*10 = 1/3
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