A sum of money is divided among Khairul, Michael and Ethan in the ratio
6 : 4 : 5. After Khairul gives $30 to Michael and $15 to Ethan, the ratio
becomes 7:6:7. Find the amount of money Khairul had initially.
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Solution:
Given that,
Khairul, Michael and Ethan in the ratio 6: 4: 5
Let the money with Khairul initially be 6x
Let the money with Michael initially be 4x
Let the money with Ethan initially be 5x
After Khairul gives $ 30 to Michael and $ 15 to Ethan, the ratio becomes 7: 6: 7
Therefore,
6x - 45 : 4x + 30 : 5x + 15 = 7 : 6 : 7
Also, combine first two ratios in above
10x - 15 : 5x + 15 = 13 : 7
Write in fraction form,
Find the amount of money Khairul had initially
money with Khairul initially = 6x = 6(60) = 360
Thus the money with Khairul initially is Rs 360
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