Read the passage carefully and answer the question. There are two bags A and B having balls of colors red, blue, green, and yellow. They have 3 and 4 colored balls, respectively, not necessarily in the same order. Only one of the bags has yellow-colored balls. In bag A, the difference betw

Question

Read the passage carefully and answer the question. There are two bags A and B having balls of colors red, blue, green, and yellow. They have 3 and 4 colored balls, respectively, not necessarily in the same order. Only one of the bags has yellow-colored balls. In bag A, the difference between the number of red and blue balls is 6. In both bags, the number of green balls is half the number of red balls. The difference between the number of red and blue balls in bag B is 5. The yellow balls are 3 more than the number of green balls in the bag containing yellow balls. The average number of balls in bags A and B are 48 and 37, respectively. Quantity I: Find the difference between the number of blue balls in A and the number of red balls in B. Quantity II: Find the difference between the number of yellow balls in the bag containing them and the number of green balls in bag B.

Accepted Answer

Quantity I > Quantity II. The totals from the averages help determine the number of balls in each bag, and the color conditions then fix the distribution uniquely. After solving, Quantity I comes out larger than Quantity II.

Solution

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