An alloy weighing 117 kg from copper and zinc, the weights of which are in the ratio of 4: 5.

| June 10, 2021 | education

An alloy weighing 117 kg from copper and zinc, the weights of which are in the ratio of 4: 5. What metal is there more in the alloy and how much?

Let’s solve the task of actions with explanations:

1. Let’s calculate from how many parts the alloy consists in total: 4 + 5 = 9 parts.

2. Calculate the mass of one part of the metal: 117 ÷ 9 = 13 kilograms.

3. Determine the mass of zinc in the total mass of the alloy, provided that there are 5 parts of it in the alloy: 13 × 5 = 65 kilograms.

4. Determine the mass of copper in the total mass of the alloy, provided that there are 4 parts of it in the alloy: 13 × 4 = 52 kilograms.

4. Let’s calculate how many kilograms there is more zinc in the alloy than copper: 65 – 52 = 13 kilograms.

Answer: zinc in the alloy is 13 kilograms more.



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