A zinc, tin, and lead alloy has a zinc content that is that of tin and that of lead. 12 kg of the alloy will include how much of each metal?

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5,4,3

3,4,5

4,5,3

5,3,4

answer is B.

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Detailed Solution

Concept: Here, we must first select an arbitrary, unknowable value for the amount of lead that is included in the alloy. then calculate the amount of tin and zinc from it in accordance with the inquiry. Create the linear equation based on - after that. The total weight of all the metals in the alloy is 12kg.
Total alloy weight is equal to the sum of the lead, tin, and zinc contents.
Given: There are 12 kg of alloy in total.
Tin is

the weight of lead.
The amount of zinc is one-third that of tin.
To calculate the amount of each metal (lead, tin, and zinc) in 12 kg of alloy.
We must first assume that there is

kg of lead in order to determine this.
Then , Quantity of tin is

that of lead

& Quantity of zinc is

that of tin

Considering that,
Total alloy weight is equal to the sum of the lead, tin, and zinc contents.

Consequently, there is 5 kg of lead in the alloy.
Then, Quantity of tin is

that of lead

& Quantity of zinc is

that of tin

The alloy has 3kg, 4kg, and 5kg each of zinc, tin, and lead, respectively.
Hence, the correct option is 2) 3,4,5

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