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:
Ethan remains with $600 after giving out $50
Step-by-step explanation:
Let x be the amount shared among Ethan, Jun, and Raj.
The ratio in which the money is divided is = 5:6:9
Sum of the ratios = 5 + 6 + 9 = 20
From the ratio, the fraction that Ethan gets equals to:
= 5/20 = 1/4
The amount = 1/4x
When Ethan gives $50, the ratio becomes 3:4:6
Sum of the ratios = 3 + 4 + 6 = 13
The amount Ethan has from this = 3/13x
Now, 1/4x - 3/13x = 1/52x
So, Ethan gave out 1/52x
Equating this to $50 we have:
1/52x = $50
x = 50 × 52 = 2600
The amount Etan has after giving out $50 is:
3/13x × 2600 = 600
= $600
Answer:
Ethan remains with $600 after giving out $50
Step-by-step explanation:
Let x be the amount shared among Ethan, Jun, and Raj.
The ratio in which the money is divided is = 5:6:9
Sum of the ratios = 5 + 6 + 9 = 20
From the ratio, the fraction that Ethan gets equals to:
= 5/20 = 1/4
The amount = 1/4x
When Ethan gives $50, the ratio becomes 3:4:6
Sum of the ratios = 3 + 4 + 6 = 13
The amount Ethan has from this = 3/13x
Now, 1/4x - 3/13x = 1/52x
So, Ethan gave out 1/52x
Equating this to $50 we have:
1/52x = $50
x = 50 × 52 = 2600
The amount Etan has after giving out $50 is:
3/13x × 2600 = 600
= $600