Multiple choice

In a sphere made of an alloy, copper and tin are in the ratio $86:14$. In a sphere made of another alloy, copper and zinc are in the ratio $58:42$. Find the ratio of tin and zinc in the sphere made by melting the two spheres.

  1. $1:3$
  2. $2:3$
  3. $3:4$
  4. $3:5$
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A Correct answer
AI explanation

Assume the total mass of each alloy sphere is 100 units to compare their components. In the first alloy, tin represents 14 units, and in the second alloy, zinc represents 42 units. When the two spheres are melted together, the ratio of tin to zinc is 14 to 42, which simplifies to 1 : 3.

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