Multiple choice

Kanika was on a diet, so she started drinking a mixture containing lemon water and honey in the ratio of 5 : 3. If 2 litres of honey is added to it, then the ratio of lemon water and honey becomes 7 : 5. Find the quantity of lemon water in the mixture.

  1. 15.5 litres

  2. 17.5 litres

  3. 13.5 litres

  4. 14.5 litres

  5. 16.5 litres
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let lemon water be 5x and honey be 3x. Adding 2 litres of honey makes the ratio 5x / (3x + 2) = 7/5. Solving for x gives 25x = 21x + 14, so 4x = 14 and x = 3.5. The quantity of lemon water is 5 * 3.5 = 17.5 litres.

AI explanation

Let the initial quantities of lemon water and honey be 5x and 3x respectively. Adding 2 litres of honey changes the ratio, which gives the equation 5x divided by (3x + 2) equals 7 divided by 5. Cross-multiplying yields 25x = 21x + 14, so 4x = 14 and x = 3.5. The quantity of lemon water is 5x, which is 5 times 3.5, equaling 17.5 litres.

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