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.
Answers
Answer:
Total amount after Ethan has given $50 to his mother is $1950.
Step-by-step explanation:
We may have various method to solve the problem but let to it by a short-cut method (If somebody will demand for traditional method, I'll do it):-
Look dear aspirant, here only ethan has given the amout but Jun & Raj didn't so their ratio must be equal but due to Ethan it has changed.
so let make the ratio of Jun and Raj same by multiplying earlier ratio by 2 and newer ratio by 3, we get:-
SOLUTION:-
(5:6:9)*2 & (3:4:6)3 = 10:12:18 & 9:12:18
Now Jun and Raj has same ratio but the difference arises in Ethan because he has give 50$ to his mother.
Difference of 1 is amoutable for $50
i.e. 1 ~ $50
∴
9~ $450
12~ $600
18~ $900
total: 1950$
BY Sumit Kumar Karn.