Multiple choice

A soft drink has an artificial flavour and a sweetener; it contains 16.67% artificial flavour. Another soft drink contains an artificial flavour and water in the ratio 4 : 6, respectively. These two drinks are mixed in the ratio 8 : 2. The quantity of sweetener is what percent of the quantity of artificial flavour in the final mixture?

  1. 312.5%

  2. 225.5%

  3. 265.2%

  4. 381.5%

  5. 325.7%
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A Correct answer
Explanation

Drink 1: 16.67% (1/6) flavor, 5/6 sweetener/water. Drink 2: 4:6 flavor:water (0.4 flavor). Mix 8:2 ratio. Final mixture composition: (8/10 * 1/6 + 2/10 * 0.4) flavor. Sweetener is the remainder. Calculation yields 312.5%.

AI explanation

In a total mixture of 10 units, the first drink contributes 8 units where 16.67% or 1 over 6 is artificial flavour, giving 8 over 6 units of flavour and 20 over 3 units of sweetener. The second drink contributes 2 units where 40% is artificial flavour, giving 0.8 units of flavour. The total artificial flavour in the final mixture is 8 over 6 plus 0.8, which equals 52 over 15 units. The required percentage of the sweetener to the artificial flavour is calculated as (20 over 3 divided by 52 over 15) multiplied by 100, resulting in 312.5%.

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