Alloy weighing 2kg. containing 40% copper was fused with a piece of copper weighing

Alloy weighing 2kg. containing 40% copper was fused with a piece of copper weighing 500 grams. What is the percentage of copper in the resulting alloy?

Let’s calculate how many grams of copper are in the first alloy. Let the entire alloy be 100%. Let’s make the proportion:

2 kilograms – 100%,

x kilogram – 40%.

x kilogram = 2 kilograms * 40%: 100% = 0.8 kilograms.

The first alloy contains 0.8 kilograms of copper.

Let’s calculate the mass of the resulting alloy:

2 + 0.5 = 2.5 kilograms.

The mass of the resulting alloy is 2.5 kilograms.

Let’s calculate the mass of copper in the resulting alloy:

0.8 + 0.5 = 1.3 kilograms.

2.5 kilograms – 100%,

1.3 kilograms – x%.

x = 1.3 kilograms * 100%: 2.5 kilograms = 52%.

Answer: the resulting alloy contains 52% copper.



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