Multiple choice

In a bowl containing 60 ml orange juice, 40 ml of water is poured. Thereafter, 100 ml of apple juice is poured to make a fruit punch. Madhu drinks 50 ml of this fruit punch and comments that the proportion of orange juice needs to be higher for better taste. How much orange juice should be poured into the fruit punch that remained, in order to bring up the level of orange juice to 50 percentage?

  1. 60 ml

  2. 100 ml

  3. 40 ml

  4. 80 ml
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A Correct answer
Explanation

Initial mix: 60ml orange, 40ml water, 100ml apple = 200ml total. After drinking 50ml, 150ml remains (45ml orange, 30ml water, 75ml apple). Let x be the added orange juice. We want (45+x)/(150+x) = 0.5. Solving 45+x = 75+0.5x gives 0.5x = 30, so x = 60ml.

AI explanation

The total initial punch is 60 ml of orange juice, 40 ml of water, and 100 ml of apple juice, making 200 ml. Madhu drinks 50 ml, leaving three-fourths of the total, which means 45 ml of orange juice remains in the 150 ml mix. To make orange juice exactly 50% of a new total volume, the 45 ml already present must equal half of that total. Therefore, the new total must be 90 ml, requiring 60 ml of pure orange juice to be added to the 150 ml mix.

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