Question

The sum of money is divided among Ethan, Jun Wei and Raj in the ratio 5:6:9. After Ethan gives $50 to his mother , the ratio becomes 3:4:6. Find the amount of money Ethan has after giving $50 to his mother.

Answer 1

Ethan has $50 after giving $50 to his mother.

Step-by-step explanation:

Given,

The ratio of the amount divided among Ethan, Jun Wei and Raj = 5 : 6 : 9

That is,

The ratio of amount Ethan and Jun Wei have initially = 5 : 6,

Consider Ethan's amount = 5x, Jun's amount = 6x,

Where, x is any positive number,

Since,  After Ethan gives $50 to his mother , the ratio becomes 3:4:6,

So, the new ratio between Ethan's and Jun's amount = 3 : 4

Thus,

$\frac{5x-50}{6x}=\frac{3}{4}$

$20x - 200 = 18x$

$20x-18x = 200$

$2x=200$

$\implies x = 100$

Hence, the amount of money Ethan has after giving $50 to his mother = 100 - 50 = 50

#Learn more:

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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