Multiple choice

Two types of tea are mixed in the ratio of 3 : 5 to produce the first quality and if they are mixed in the ratio of 2 : 3, the second quality is obtained. How many kilograms of the first quality has to be mixed with 10 kg of the second quality so that a third quality having the two varieties in the ratio of 7 : 11 may be produced?

  1. 5 kg

  2. 10 kg

  3. 8 kg

  4. 9 kg
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let x be the amount of first quality tea. The first quality has ratio 3:5 (total 8 parts), second has 2:3 (total 5 parts). The third quality has 7:11 (total 18 parts). This is a mixture problem requiring setting up equations based on the proportions of the two varieties.

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