Multiple choice

In a mixture of 80 kg of rice, the ratio of Quality 1 rice to Quality 2 rice is 2 : 3. To make the ratio 1 : 2, some Quality 2 rice is added. How much Quality 2 rice is added?

  1. 10 kg

  2. 12 kg

  3. 16 kg

  4. 15 kg

  5. 7.8 kg
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Initial: 80 kg, ratio 2:3. Quality 1 = 32 kg, Quality 2 = 48 kg. Let x be added Quality 2 rice. New ratio: 32 / (48 + x) = 1/2. 64 = 48 + x, so x = 16 kg.

AI explanation

The initial mixture contains Quality 1 rice equal to (2/5) * 80 = 32 kg and Quality 2 rice equal to (3/5) * 80 = 48 kg. Let x be the amount of Quality 2 rice added to achieve a 1:2 ratio, establishing the equation 32 / (48 + x) = 1 / 2. Solving for x yields 48 + x = 64, meaning x equals 16 kg of Quality 2 rice added.

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