The alloy is composed of gold and silver. in the launch of the alloy 120 g of gold

The alloy is composed of gold and silver. in the launch of the alloy 120 g of gold, which is 1/6 of its mass, what is the mass of the entire piece of alloy?

Let us compare in the proportion of 120 grams, as 1/6 of the total weight of the piece, and the unknown mass, as 6/6 of the total weight of the piece.

Let us denote the unknown mass of the entire piece of alloy by the letter X.

Let’s make the proportion and find X:

120 grams – make up 1/6 of the total mass;

X grams – make up 6/6, or the whole mass;

X = 120 grams * 6/1 = 720 grams.

We can also find the amount of silver:

720 grams – 120 grams = 600 grams of silver alloy.

Answer: The mass of the entire piece of alloy is 720 grams.