Multiple choice

A beverage manufacturer creates a new fruit juice blend by mixing two different pre-made juices, Juice M and Juice N. Juice M contains fruit concentrates A, B, and C in the ratio of 4 : 3 : 2, while Juice N contains fruit concentrates A and B in the ratio of 5 : 7. The manufacturer needs to prepare 720 litres of the new juice blend by mixing Juice M and Juice N in the ratio of 2 : 3. Determine the quantity of fruit concentrate A in the final juice blend.

  1. 258

  2. 308

  3. 328

  4. 358

  5. 368
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Total = 720L. M:N = 2:3, so M = 288L, N = 432L. Juice M (A:B:C = 4:3:2) has 4/9 of 288 = 128L of A. Juice N (A:B = 5:7) has 5/12 of 432 = 180L of A. Total A = 128 + 180 = 308L.

AI explanation

Since the total mixture is 720 litres mixed in a 2 to 3 ratio, the quantities of Juice M and Juice N are 288 litres and 432 litres respectively. In Juice M, concentrate A is 4/9 of the total, yielding 128 litres, and in Juice N, concentrate A is 5/12 of the total, yielding 180 litres. Adding these amounts gives 128 plus 180, resulting in a total of 308 litres of concentrate A in the final blend.

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