Multiple choice

A mixture of 30 L contains lime juice and soda in the ratio of 7 : 3. How much soda should be added to it so that the ratio of lime and soda becomes 3 : 7?

  1. 56 L

  2. 49 L

  3. 40 L

  4. 63 L
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C Correct answer
Explanation

Initial: Lime = 21, Soda = 9. Let x be the amount of soda added. New ratio: 21 / (9 + x) = 3 / 7. Cross-multiplying: 147 = 27 + 3x, so 3x = 120, x = 40.

AI explanation

By the method of proportions, a 30 liter mixture with a ratio of 7 to 3 contains 21 liters of lime juice and 9 liters of soda. Let the required quantity of soda to be added be x liters; the new ratio becomes 21 divided by the sum of 9 and x. Solving the equation 21 divided by the sum of 9 and x equals 3 divided by 7 yields 147 equals 27 plus 3x, which gives 3x equals 120. The required quantity of soda is 40 L.

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