Question
A bag contains red and yellow marbles in the ratio 4:5,
respectively. Also, the ratio of yellow to green marbles is 1:3. If the total number of marbles in the bag is 96, find the number of yellow marbles.Solution
ATQ,
Let the number of red marbles in the bag = ‘4x’
Then, number of yellow marbles in the bag = (5/4) × 4x = ‘5x’
And, number of green marbles in the bag = (3/1) × 5x = ‘15x’
According to the question,
4x + 5x + 15x = 96
Or, 24x = 96
Or, x = (96/24) = 4
So, number of yellow marbles in the bag = 5x = 5 × 4 = 20
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