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maksim [4K]
3 years ago
10

A jeweler has five rings, each weighing g, made of an alloy of silver and gold. She decides to melt down the rings and add enoug

h silver to reduce the gold content to . How much silver should she add
Chemistry
1 answer:
Kryger [21]3 years ago
5 0

Complete question :

A jeweler has five rings, each weighing 18 g, made of an alloy of 10% silver and 90% gold. She decides to melt down the rings and add enough silver to reduce the gold content to 75%. How much silver should she add?

Answer:

Kindly check explanation

Explanation:

Given the following :

Weight of each alloy = 18g

Initial % of Silver = 10% = 0.1

Initial % of Gold = 90% = 0.9

New % of gold = 75% = 0.75

Hence, new % of silver will be (1 - 0.75) = 0.25

Let the amount of silver to be added = s

Hence,

Initial gold content = final gold content + added silver

18 * 0.9 = 0.75(18 + s)

16.2 = 13.5 + 0.75s

16. 2 = 13.5 + 0.75s

16.2 - 13.5 = 0.75s

2.7 = 0.75s

s = 2.7 / 0.75

s = 3.6

S = 3.6

Hence the amount of silver needed per ring in other to reduce the gold content = 3.6g

Total for the 5 rings = (3.6 * 5) = 18g

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