1. X and Y are the 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 another alloy Z, what is the ratio of Zinc and Copper in the new alloy Z?
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By: anil on 05 May 2019 02.39 am
Alloy X has zinc and copper in ratio 6:9 If 40 grams is taken then weights of zinc and copper are: Zinc = $$frac{6}{15}$$ * 40 = 16 grams Copper = $$frac{9}{15}$$ * 40 = 24 grams
Alloy Y has zinc and copper in ratio 7:11 If 60 grams is taken then weights of zinc and copper are: Zinc = $$frac{7}{18}$$ * 60 = $$frac{70}{3}$$ grams Copper = 60 - $$frac{70}{3}$$ = $$frac{110}{3}$$ grams When mixed together, the weights of Zinc and Copper are: Zinc = 16 + $$frac{70}{3}$$ = $$frac{118}{3}$$ Copper = 24 + $$frac{110}{3}$$ = $$frac{182}{3}$$ Ratio = 118/3:182/3 = 59:91
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Alloy Y has zinc and copper in ratio 7:11 If 60 grams is taken then weights of zinc and copper are: Zinc = $$frac{7}{18}$$ * 60 = $$frac{70}{3}$$ grams Copper = 60 - $$frac{70}{3}$$ = $$frac{110}{3}$$ grams When mixed together, the weights of Zinc and Copper are: Zinc = 16 + $$frac{70}{3}$$ = $$frac{118}{3}$$ Copper = 24 + $$frac{110}{3}$$ = $$frac{182}{3}$$ Ratio = 118/3:182/3 = 59:91