We need to find the amount of silver that needs to be added in a melted alloy which weighs 70 g to make the proportions be 70% gold.
The final answer is, the amount of Silver content to be added is 15 g.
Number of rings = 5
Weight of one ring = 14 g
Percentage of silver in the original alloy = [tex]15\%[/tex]
Let [tex]x[/tex] be the amount of silver to be added
Weight of 5 rings = [tex]14\times 5=70\ \text{g}[/tex]
Percentage of silver in the new alloy would be [tex]100-70=30\%[/tex]
Now the equation with respect to silver will be
[tex]0.15\times 70+x=0.3(x+70)\\\Rightarrow 10.5+x=0.3x+21\\\Rightarrow x-0.3x=21-10.5\\\Rightarrow 0.7x=10.5\\\Rightarrow x=\dfrac{10.5}{0.7}\\\Rightarrow x=15[/tex]
So, the amount of silver to be added is [tex]15\ \text{g}[/tex]
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