Multiple choice

Jars A, B, C and D have mixtures of milk and honey in the ratio 2 : 3, 4 : 7, 3 : 7 and 2 : 5, respectively. If all these mixtures are mixed together and the volumes of these jars are in the ratio of 3 : 4 : 5 : 6, then find the ratio of milk to honey in the final mixture.

  1. 4519 : 9341

  2. 9244 : 4658

  3. 4419 : 7341

  4. 2419 : 9341

  5. 5419 : 9341
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Milk/Honey ratios: A=2/5, 3/5; B=4/11, 7/11; C=3/10, 7/10; D=2/7, 5/7. Volumes ratio: 3:4:5:6. Total parts = 3+4+5+6 = 18. Weighted average: Milk = (3*2/5 + 4*4/11 + 5*3/10 + 6*2/7) / 18. Honey = (3*3/5 + 4*7/11 + 5*7/10 + 6*5/7) / 18. Calculating these yields the ratio 4519 : 9341.

AI explanation

The volumes are in the ratio 3 : 4 : 5 : 6, so assume convenient volumes for jars A, B, C, and D of 30, 40, 50, and 60 units. The milk quantities in the jars are 30 times 2/5 (12), 40 times 4/11 (160/11), 50 times 3/10 (15), and 60 times 2/7 (120/7), which sum to a total milk volume of 4619/77. The total honey volume is 4619/77 subtracted from the total mixture volume of 180, resulting in 9341/77. The final ratio of milk to honey is 4519 : 9341.

Keep practicing — related questions