The alloy contains 61% tin and 39% lead. How many grams of lead and how
| September 26, 2021 | education
The alloy contains 61% tin and 39% lead. How many grams of lead and how much tin is in a piece of alloy if there is 9.9 g more tin in it than lead?
Determine how many percent the content of tin in the alloy is greater than the content of lead.
61% – 39% = 22%.
We find the total mass of the alloy.
To do this, divide the difference in weight between tin and lead by the percentage of the difference.
9.9 / 22% / 100% = 9.9 / 0.22 = 45 grams.
Find the weight of the tin in the alloy.
We multiply the total weight of the entire alloy by the percentage.
45 * 61% / 100% = 45 * 0.61 = 27.45 grams.
The mass of lead will be equal to:
45 * 39% / 100% = 45 * 0.39 = 17.55 grams.
Answer:
The alloy contains 17.55 g of lead and 27.45 g of tin.
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