Ms. Nguyen needs to separate $385 into three parts to pay some debts. The second part must be five times as large as the first part. The third part must be $35 more than the first part. How much money must be in each part? Write and solve an equation.

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: 5xThe third part must be $35 more than the first part. Thus, the third part is: x+35Therefore, 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)=$250The third part should be: x+35=50+35=$85