Multiple choice

Find the value of x and y. If Red bag, Blue bag and White bag have 120 , x and y balls with respectively, if Blue bag gives 150 balls to Red bag, he is left with three and half as many balls as White bag. If together they had 180 more balls, each of them would have had 300 balls on an average.

  1. 5:1

  2. 1:5

  3. 3:4

  4. 4:5

  5. None of these
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A Correct answer
Explanation

Set up the equations: (x - 150) = 3.5y from the first condition, and (120 + x + y + 180)/3 = 300 from the second condition. Simplifying gives x + y = 600. Substituting x = 3.5y + 150 gives 4.5y = 450, so y = 100 and x = 500. The ratio x:y = 500:100 = 5:1.

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