A and B are two alloys of gold and copper prepared by mixing metals in the proportions 7 : 2 and 7 : 11 respectively. If equal quantities of the alloys are melted to form a third alloy C, proportion of gold and copper in C will be
A and B are two alloys of gold and copper prepared by mixing metals in the proportions 7 : 2 and 7 : 11 respectively. If equal quantities of the alloys are melted to form a third alloy C, proportion of gold and copper in C will be
A5 : 7
B5 : 9
C9 : 5
D7 : 5
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Correct answer is: 7 : 5
Explanation:
Gold in C = \(\left( \frac{7}{9} + \frac{7}{18} \right)\)
\(= \frac{21}{18} = \frac{7}{6}\)
Copper in C = \( \left( \frac{2}{9} + \frac{11}{18} \right)\)
\(= \frac{15}{18} = \frac{5}{6}\)
Gold : Copper = \(\frac{7}{6} : \frac{5}{6}\)
= 7 : 5
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