A bag contains r red and b blue balls. If r/(r+b) = 1/3 and r = 2, what is b?

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Multiple Choice

A bag contains r red and b blue balls. If r/(r+b) = 1/3 and r = 2, what is b?

Explanation:
The ratio of red balls to the total is 1/3, so red represents one third of all balls. If there are r red balls, then r + b = 3r, which gives b = 2r. With r = 2, b = 4. Quick check: 2/(2+4) = 2/6 = 1/3, which fits. So there are 4 blue balls.

The ratio of red balls to the total is 1/3, so red represents one third of all balls. If there are r red balls, then r + b = 3r, which gives b = 2r. With r = 2, b = 4. Quick check: 2/(2+4) = 2/6 = 1/3, which fits. So there are 4 blue balls.

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