Answer:
The first, second and third parts are $50, $250 and $85 respectively.
Step-by-step explanation:
Consider the provided information.
Ms. Nguyen needs to separate $385 into three parts to pay some debts.
Let the first part to pay some debts is represented by x.
The second part must be five times as large as the first part.
Thus, the second part is: 5x
The third part must be $35 more than the first part.
Thus, the third part is: x+35
Therefore, the required equation is: [tex]x+5x+x+35=385[/tex]
[tex]7x+35=385[/tex]
[tex]7x=385-35[/tex]
[tex]7x=350[/tex]
[tex]x=50[/tex]
Hence, the first part should be $50.
The second part should be: 5x=5(50)=$250
The third part should be: x+35=50+35=$85
The amount in the first part is 50
The amount in the second part is 250
The third part is 85
Let a represent the first number
Let 5a represent the second number
Let a+35
a + 5a + a +35= 385
7a= 385-35
7a= 350
a= 350/7
a= 50
First part a= 50
Second part= 5a, 5(50), 250
Third part= 50+35, 85
Hence the first part is 50, second part is 250, third part is 85
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