Multiple choice

The ratio of copper and zinc in an alloy, German silver, was 21: 16, while the ratio of nickel and zinc was 7: 24. What was the ratio of copper: zinc: nickel in the alloy?

  1. $63 : 48 : 14$
  2. $21 : 6 : 7$
  3. $68 : 28 : 21$
  4. $17 : 21 : 4$
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A Correct answer
Explanation

Given Cu:Zn = 21:16 and Ni:Zn = 7:24. To find Cu:Zn:Ni, make Zn equal in both ratios. Cu:Zn = 63:48 (multiplying by 3), Ni:Zn = 14:48 (multiplying by 2). Thus Cu:Zn:Ni = 63:48:14. Option A matches this ratio. Option B has incorrect proportions. Option C and D don't maintain the given relationships.