Multiple choice

A scientist has a solution containing 300 ml of vinegar-honey mixture in the ratio 3 : 1 by volume. In the first round, 60 ml of the mixture is removed and replaced with honey. In the second round, 80 ml of the resultant solution is removed and replaced with honey. Finally, 100 ml of the resultant mixture is removed and replaced with honey. Finally, in the fourth round, 120 ml of the resultant solution is removed and replaced with honey. What is the final quantity of honey in the mixture?

  1. 224.70 ml

  2. 247.20 ml

  3. 272.70 ml

  4. 283.20 ml
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Initial vinegar=225, honey=75. Each replacement reduces the vinegar fraction. After 60ml (1/5 of 300), vinegar becomes 225*(4/5)=180. After 80ml (4/15 of 300), vinegar becomes 180*(11/15)=132. After 100ml (1/3 of 300), vinegar becomes 132*(2/3)=88. After 120ml (2/5 of 300), vinegar becomes 88*(3/5)=52.8. Honey = 300 - 52.8 = 247.2.

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