Multiple choice

There are two types of grains - rice and wheat. Rice contains 35% oats and wheat contains 30% oats. A container is filled with rice and wheat in the ratio 5 : 6. Find the percentage of oats in the new mixture?

  1. 31.56%

  2. 32.27%

  3. 32.72%

  4. 40.45%

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The mixture ratio is 5:6. Total parts = 11. Oats = (5 * 0.35 + 6 * 0.30) / 11 = (1.75 + 1.8) / 11 = 3.55 / 11 = 0.322727... which is 32.27%.

AI explanation

Let the quantities of rice and wheat be 5 kilograms and 6 kilograms respectively. The amount of oats in the rice is 35 percent of 5, which is 1.75 kilograms, and the amount of oats in the wheat is 30 percent of 6, which is 1.8 kilograms. The total amount of oats is 1.75 plus 1.8, equaling 3.55 kilograms in a total mixture of 11 kilograms. Calculating the percentage, (3.55 divided by 11) multiplied by 100 gives the oat concentration as 32.27 percent.

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