Multiple choice

In an alloy of 63 kg, the ratio of nickel to copper is 5 : 2. If the ratio is to be 2 : 5, then the quantity of copper to be further added is

  1. 45.5 kg

  2. 27 kg

  3. 94.5 kg

  4. 95.5 kg

  5. 18 kg

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Total = 63 kg. Nickel = 45 kg, Copper = 18 kg. Let x be copper added. 45 / (18 + x) = 2 / 5. 225 = 36 + 2x. 2x = 189. x = 94.5 kg.

AI explanation

In the initial 63 kg alloy, the ratio of nickel to copper is 5 : 2. The total number of parts is 5 + 2 = 7, so the parts represent 9 kg each (63 / 7). The alloy therefore contains 45 kg of nickel and 18 kg of copper. We want the new ratio of nickel to copper to be 2 : 5, meaning for 45 kg of nickel, the copper needed is (5 / 2) * 45 = 112.5 kg. Since the alloy already has 18 kg of copper, the copper to be added is 112.5 - 18 = 94.5 kg. The quantity of copper to be further added is 94.5 kg.