Multiple choice

A mixture contains orange juice and apple juice in the ratio 4 : 3, respectively. How much apple juice should be added to the mixture so that the ratio becomes 3 : 4? It is given that the quantity of orange juice present in the mixture is 12 litres.

  1. 6 litres

  2. 7 litres

  3. 8 litres

  4. 9 litres

  5. 10 litres
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Orange juice = 12L. Ratio 4:3 means apple juice = (12/4)*3 = 9L. Let x be added apple juice. New ratio (12) : (9+x) = 3:4. So 12/ (9+x) = 3/4. 48 = 27 + 3x, 3x = 21, x = 7.

AI explanation

Given the orange juice is 12 litres and the initial ratio is 4 to 3, the initial amount of apple juice is 12 times 3/4, which is 9 litres. To make the ratio of orange to apple 3 to 4, the required amount of apple juice for 12 litres of orange juice is 12 times 4/3, which equals 16 litres. The amount of apple juice to add is 16 minus 9, resulting in 7 litres.

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