X and Y are two alloys which were made by mixing zinc and copper in the ratio 6:9 and 7:11, respectively. If 40 grams of alloy X and 60 grams of alloy Y are melted and mixed to form alloy Z, what is the ratio of zinc and copper in the alloy Z ?
Correct answer: B
Explanation
The ratio of zinc and copper in mixture 1 is 6/9 and in mixture 2 is 7/11.
40 grams of mixture 1 contains 6*40/15=16 grams of zinc and 24 grams of copper
60 grams of mixture 2 contains 7*60/18=77/3 grams of zinc and 110/3 grams of copper
Thus, ratio =(16+77/3)/(24+110/3) =59/91
B
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