How many grams silver is added to 13 grams gold to produce 85% gold alloy?
drbob222 I tried that formula bu I guess it's wrong :(
See the post above. The formula is right but I substituted incorrectly. The way I substituted gave % Ag in Au not the other way around.
To determine how many grams of silver must be added to 13 grams of gold to produce an 85% gold alloy, we need to figure out the amount of gold and silver in the resulting alloy.
Let's assume x grams of silver is added to the 13 grams of gold.
The resulting alloy will have a total mass of 13 + x grams.
Since the desired alloy is 85% gold, we can write the following equation:
(13 grams of gold) / (13 + x grams of alloy) = 85% (or 0.85)
To solve for x, we can cross-multiply and solve the equation:
13 grams of gold = (0.85) * (13 + x grams of alloy)
13 = 0.85 * (13 + x)
Divide both sides of the equation by 0.85:
13 / 0.85 = 13 + x
15.29 ≈ 13 + x
Rearranging the equation:
x ≈ 15.29 - 13
x ≈ 2.29 grams
So, approximately 2.29 grams of silver must be added to 13 grams of gold to produce an 85% gold alloy.