Copper makes up 4/7 of the alloy. How many kilograms of copper is contained in 280kg of such an alloy?
| January 10, 2021 | education
Let’s denote the unknown amount of a kilogram of copper, which is in 280 kg of an alloy, with the letter X.
Let us compare in proportion the entire mass of the alloy, as 7/7 of the total alloy, and the unknown mass of copper, as 4/7 of the total alloy.
Let’s make the proportion and find the unknown amount of copper in the alloy:
280 kg of alloy – 7/7 of the total mass of the alloy;
X kg of copper in the alloy – 4/7 of the total mass of the alloy;
X = 280 kg * 4/7 = 160 kg.
Answer: 280 kg of alloy contains 160 kg of copper.
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