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Answer :
Final answer:
The ratio of tin to copper in the alloy is 1:2, which results in 52 kg of tin and 104 kg of copper in a 156 kg sample of the alloy.
Explanation:
The alloy ratio given is 4 parts tin to 8 parts copper. This can be simplified to a ratio of 1:2. Therefore, there is one part tin for every two parts copper in this alloy. To find out how many kilograms of each material are in a 156 kg alloy sample, we must divide 156 by 3 (since 1 part tin + 2 parts copper = 3 total parts). This results in 52 kg representing one part of the alloy.
We can then allocate these kilograms to the respective materials based on their parts in the ratio. There is 1 part tin, so tin would amount to 1 * 52 kg = 52kg. There are 2 parts copper, so copper would amount to 2 * 52 kg = 104 kg.
To verify these results, you can add the amounts of tin and copper together: 52 kg (tin) + 104 kg (copper) = 156 kg (total alloy), which matches the whole alloy weight given.
So the correct choice in your options is Tin: 52 kg, Copper: 104 kg.
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