Multiple choice

In one alloy there is 60% steel in its total mass, while in another alloy it is 35%. 15 kg of the first alloy was melted together with 30 kg of the second one to form a third alloy. Find the ratio of steel and other metals in the new alloy?

  1. $13:17$
  2. $11:25$
  3. $11:17$
  4. $13:19$

  5. None of these
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A Correct answer
Explanation

Steel from first alloy: 60% of 15 kg = 9 kg. Steel from second alloy: 35% of 30 kg = 10.5 kg. Total steel = 19.5 kg in 45 kg alloy. Other metals = 45 - 19.5 = 25.5 kg. Ratio steel:other = 19.5:25.5 = 13:17 after simplifying.

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