The alloy consists of 5 parts of copper and 3 parts of zinc (by mass). What is the mass of copper

| August 8, 2021 | education

The alloy consists of 5 parts of copper and 3 parts of zinc (by mass). What is the mass of copper and what is the mass of zinc in 2 4/5 kg of alloy

Let’s solve this task by actions with explanations:
1) 5 + 3 = 8 parts – copper and zinc make up the mass of the alloy at 2 4/5 kilograms;
2) 2 4/5: 8 = (2 * 5 + 4) / 5: 8 = 14/5: 8 = 14/5 * 1/8 = (14 * 1) / (5 * 8) = (7 * 1) / (5 * 4) = 7/20 kilograms – lead one part;
3) 5 * 7/20 = (5 * 7) / 20 = (1 * 7) / 4 = 7/4 = 1 3/4 kilograms – the mass of copper, since copper is 5 parts, and the mass of one part is 7 / twenty;
4) 3 * 7/20 = (3 * 7) / 20 = 21/4 = 5 1/4 kilograms – the mass of zinc, since zinc is 3 parts, and the mass of one part is 7/20.
Answer: 1 3/4 kilograms of copper and 5 1/4 kilograms of zinc.



One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.