An alloy of gold and silver containing 110 grams of gold was fused with 100 grams of pure gold.

| January 10, 2021 | education

An alloy of gold and silver containing 110 grams of gold was fused with 100 grams of pure gold. As a result, the gold content in the alloy increased by 20% compared to the original. How much silver is in the alloy?

Decision.
Let’s find how many percent of gold the original alloy contains, for this we will compose the proportion:
110 / x = 210 / (x + 20).
Let’s solve the equation:
210x = 110 (x + 20);
210x = 110x + 110 20;
210x = 110x + 2200;
210x-110x = 2200;
100x = 2200;
x = 22% – the percentage of gold in the original alloy.
100% -22% = 78% is the percentage of silver in the original alloy.
22% + 20% = 42% – the percentage of gold in the new alloy.
100% -42% = 58% – the percentage of silver in the new alloy.
Answer: 58% silver in the new alloy.



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