Multiple choice

A wine seller has 80 litres of wine. He wants to add water to the wine to create a mixture that is 64% wine. How much water should he add?

  1. 30 litres

  2. 32 litres

  3. 45 litres

  4. 35 litres

  5. 38 litres
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Initial wine = 80L. Let x be water added. Total volume = 80 + x. Wine concentration = 80 / (80 + x) = 0.64. 80 = 0.64 * 80 + 0.64x. 80 = 51.2 + 0.64x. 28.8 = 0.64x. x = 28.8 / 0.64 = 45.

AI explanation

The original 80 litres of wine represents 64% of the total new mixture after adding water, since the rest is water. Set up the equation 0.64 multiplied by the total volume equals 80, which means the total volume is 80 divided by 0.64, or 125 litres. The amount of water to add is the difference between the total volume and the original wine, so 125 minus 80 equals 45 litres.

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