Alloy of tin and lead contains 40% tin. What mass of alloy and what mass of pure lead should be taken to obtain 40 kg of a new alloy containing 10% tin?
We find out how many kilograms of tin are in an alloy weighing 40 kg. Let’s make the proportion:
100% – 40 kilograms,
10% – x kilogram.
x kilogram = 10 * 40: 100 = 4 kilograms.
The alloy contains 4 kilograms of tin.
Find out how much alloy with a tin content of 40% you need to take:
x kilogram – 100%,
4 kilograms – 40%.
x kilogram = 4 * 100: 40 = 10 kilograms.
You need to take 10 kilograms of an alloy with a tin content of 40%.
Let’s calculate how much lead you need to take:
40 – 10 = 30 kilograms.
Answer: you need to take 30 kg of lead, and 10 kg of an alloy with 40% tin.
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