What will be the ratio of gold to copper in the final alloy formed by mixing 3 alloys in the ratio 1:2:2 having gold to copper ratio as 4:1, 5:2 and 6: 1 respectively.
Answers
Ratio of gold to copper in the final alloy formed is 138 : 37
Given : alloy formed by mixing 3 alloys in the ratio 1:2:2 having gold to copper ratio as 4:1, 5:2 and 6: 1
To Find : Ratio of gold to copper in the final alloy formed
Solution:
Three alloys are mixed in ratio 1 : 2 : 2
Let say they are 35x , 70x , 70x
gold to copper ratio 4 : 1 , Total = 35x
4 + 1 = 5
Gold = ( 4/5) * 35x = 28x
Copper = (1/5) * 35x = 7x
gold to copper ratio 5 : 2 , Total = 70x
5 + 2 = 7
Gold = ( 5/7) * 70x = 50x
Copper = (2/7) * 70x = 20x
gold to copper ratio 6 : 1 , Total = 70x
6 + 1 = 7
Gold = ( 6/7) * 70x = 60x
Copper = (1/7) * 70x = 10x
Total Gold = 28x + 50x + 60x = 138x
Total Copper = 7x + 20x + 10x = 37x
Ratio is 138x : 37x
= 138 : 37
Ratio of gold to copper in the final alloy formed is 138 : 37
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Answer:
Ratio of gold in the final alloy = 138 : 37.