Multiple choice

There are two types of Drinks A and B. Drink A contains 40% alcohol and Drink B contains 25% of alcohol. Both brands are to be mixed. If the combined mixture is to be 30% of alcohol, then find what percentage of Drink A in the final mixture?

  1. (a) 30%

  2. (b) 33.33%

  3. (c) 20%

  4. (d) 32.5%

  5. (e) 66.67%

Reveal answer Fill a bubble to check yourself
B Correct answer
AI explanation

Using the rule of alligation, the ratio of Drink A to Drink B in the final mixture is the difference between the concentration of Drink B and the desired concentration (30 minus 25 = 5) to the difference between the desired concentration and the concentration of Drink A (40 minus 30 = 10). This gives a required mixing ratio of 1:2 for Drink A to Drink B. The percentage of Drink A in the final mixture is therefore 1 / (1 + 2) * 100 = 33.33%.