The alloy contains 61% tin and 39% lead. How many grams of lead and how much tin is there in a piece
| February 23, 2021 | education
The alloy contains 61% tin and 39% lead. How many grams of lead and how much tin is there in a piece of alloy if there is 9.9 g more tin than lead?
Let’s calculate how much more tin is in the alloy than lead. Let us subtract from the amount of tin – 61% the amount of lead – 39%:
61 – 39 = 22%.
Let’s make the proportion:
22% – 9.9 grams,
100% – x grams.
x grams = 100% * 9.9 grams: 22% = 45 grams.
The weight of the entire alloy is 45 grams.
Let’s find how much tin is in the alloy:
45 * 0.61 = 27.45 grams.
The alloy contains 27.45 grams of tin.
Let’s calculate how much lead is in the alloy:
45 * 0.39 = 17.55 grams.
The alloy contains 17.55 grams of lead.
Answer: The alloy contains 27.45 grams of tin and 17.55 grams of lead.
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