Question
In a Polly bag, the distribution of red, white, and
yellow rubber bands is in the ratio 7:3:8. Suppose the yellow rubber bands were reduced by 35 and the red rubber bands increased by 40. Under this scenario, the red rubber bands would then be 44% more numerous than the yellow rubber bands. Determine the original count of each type of rubber band in the bag.Solution
ATQ, Let the number of red rubber bands, white rubber bands and yellow rubber bands in the Polly bag, originally be 7p, 3p and 8p, respectively So, 1.44(8p – 35) = 7p + 40 Or, 11.52p – 7p = 40 + 50.4 Or, p = 90.4/4.52 = 20 Required number of balls = (7p + 3p + 8p) = 18p = 360
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