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Answer:
61.5096 %
Explanation:
Let the amount of gold in the jewelry = x g
Let the amount of silver in the jewelry = y g
Total mass of jewelry = 9.85 g
So,
x + y = 9.85 g .................................1
Density = Mass / Volume
Given that:
Density of gold = 19.3 g/cm³
Thus, volume is:
Volume = Mass / Density = x / 19..3 cm³
Given that:
Density of silver = 10.5 g/cm³
Thus, volume is:
Volume = Mass / Density = y / 10.5 cm³
The total volume of the jewelry = 0.675 cm³
So,
Or,
10.5 x + 19.3 y = 136.78875 ................2
Solving 1 and 2, we get that:
<u>x = 6.0587 g</u>
<u>y = 3.7913 g</u>
So, mass % of gold:
<u>Mass % = (6.0587 / 9.85)×100 = 61.5096 %</u>