The mass of copper is 77% of the mass of bronze. How many kilograms of bronze can be made with 385 kg of copper?
September 1, 2021 | education
| Let x kilograms of bronze can be made with 385 kilograms of copper, then:
x: 100 = 0.01 ∙ x (kg) – metal is 1% of the alloy;
77 ∙ 0.01 ∙ x = 0.77 ∙ x (kg) – metal accounts for 77% of the alloy.
Knowing that on the one hand 385 kilograms of copper were taken, and on the other hand, the mass of copper is 77% of the mass of bronze, we get the equation:
0.77 ∙ x = 385;
x = 385: 0.77;
x = 500 (kg) – bronze can be made from 385 kilograms of copper.
Answer: 500 kilograms of bronze can be made with 385 kilograms of copper.
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