Multiple choice

Ratio of volumes of A and B is 2:3 and ratio of milk and water in them is 5:1 and 3:1 respectively. If they are mixed together, what will be the ratio of milk and water in the resultant mixture?

  1. $17 : 13$
  2. $32 : 17$
  3. $21 : 17$
  4. $47 : 13$
  5. $None of these$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Container A: Volume=2x, milk:water=5:1, so milk=(5/6)×2x=5x/3, water=(1/6)×2x=x/3. Container B: Volume=3x, milk:water=3:1, so milk=(3/4)×3x=9x/4, water=x/4. Total milk=5x/3+9x/4=(20x+27x)/12=47x/12. Total water=x/3+x/4=7x/12. Ratio=(47x/12):(7x/12)=47:7. Wait, this gives 47:7, not 47:13. Let me recalculate: A: 2×5/6=10/6=5/3 milk, 2×1/6=2/6=1/3 water. B: 3×3/4=9/4 milk, 3×1/4=3/4 water. Total milk=5/3+9/4=(20+27)/12=47/12. Total water=1/3+3/4=(4+9)/12=13/12. Ratio=47:13. Yes, 47:13 is correct.

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