Of the two alloys containing silver, a third was obtained. the mass of the first alloy is 50 g,

Of the two alloys containing silver, a third was obtained. the mass of the first alloy is 50 g, it contains 60% pure silver, and the second alloy contains 80% pure silver. the third alloy contains 64% pure silver. what is the mass of the second alloy?

The mass of the first alloy is 50 grams,

The mass of the second alloy – x grams,

The mass of the third alloy (obtained) – x + 50 grams,

0.6 * 50 = 30 grams – silver in the first alloy,

0.8x gram – silver in the second alloy,

0.64 * (x + 50) grams – silver in the third alloy.

30 + 0.8x = 0.64 * (x + 50),

30 + 0.8x = 0.64x + 32,

0.16x = 2,

x = 12.5 grams mass of the second alloy