Question
In a bag, the ratio of yellow and orange marbles is 4:5
respectively, and the ratio of orange and purple marbles is 1:3 respectively. If the total number of yellow, orange, and purple marbles is 96, then how many orange marbles are there in the bag?Solution
ATQ,
Let the number of yellow marbles = 4x Then, number of orange marbles = (5/4) × 4x = 5x And, number of purple marbles = (3/1) × 5x = 15x Now, 4x + 5x + 15x = 96 ⇒ 24x = 96 ⇒ x = 96 / 24 = 4 So, number of orange marbles = 5x = 5 × 4 = 20
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