Multiple choice

A mixture contains apple juice and orange juice in the ratio of 5 : 1. If 5 litres more orange juice is added in the mixture, the ratio changes to 5 : 3. What is the quantity of apple juice in the original mixture?

  1. 12.5 litres

  2. 12 litres

  3. 10 litres

  4. 14.5 litres

  5. 15 litres
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Initial: 5x, x. Add 5 orange: 5x, x+5. Ratio 5:3. 5x / (x+5) = 5/3. 15x = 5x + 25. 10x = 25. x = 2.5. Apple juice = 5x = 5 * 2.5 = 12.5.

AI explanation

Let the initial quantities of apple and orange juice be 5x and 1x respectively. When 5 litres of orange juice are added, the ratio equation becomes (5x) divided by (x plus 5) equals 5 divided by 3. Cross-multiplying gives 15x equals 5x plus 25. Solving for x yields x equals 2.5, meaning the initial amount of apple juice is 5 times 2.5, which equals 12.5 litres.

Keep practicing — related questions