Question

A 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

Step-by-step explanation:

Total amount after Ethan has given $50 to his mother is $1950.

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Answer 2

Solution of pervious question.

SOLUTION

$\tt \rightarrow \: \frac{2x}{5} = \frac{3y}{8}$

$\tt \rightarrow \: \frac{x}{5 \times 3} = \frac{y}{2 \times 8}$

$\tt \rightarrow \: \frac{x}{15} = \frac{y}{16}$

$\tt \rightarrow \: \frac{x}{y} = \frac{15}{16}$

$\tt \rightarrow \: x :y = 15 : 16$