There are two pieces of copper and zinc alloy with a copper percentage of 30% and 55%

| April 24, 2021 | education

There are two pieces of copper and zinc alloy with a copper percentage of 30% and 55% respectively. these alloys were remelted and received an alloy weighing 100g. and content. copper – 40%. How much did each of the fused pieces weigh?

1. The mass of the first alloy with copper concentration K1 = 0.3 is: M1 g;

2. The mass of the first alloy with copper concentration K2 = 0.55 is equal to: M2 g;

3. The mass of the obtained alloy with copper concentration K3 = 0.4: M3 = 100 g;

4. We make up the balance of copper alloys:

K1 * M1 + K2 * M2 = K3 * M3;

M2 = M3 – M1 = 100 – M1;

5. We calculate the mass of the first alloy:

0.3 * M1 + 0.55 * (100 – M1) = 0.4 * 100;

0.25 * M1 = 55 – 40 = 15;

M1 = 15 / 0.25 = 15 * 4 = 60 g;

M2 = 100 – M1 = 100 – 60 = 40 g.

Answer: the first alloy weighed 60 grams, the second 40 grams.



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