oni7734
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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.

I already wrote the equation I just need help solving it... PLEASE 

X+5X+35+X=385

Respuesta :

taskmasters
1st + 2nd + 3rd = 385

x  +  5x  + x + 35  = 385  *Add all values with x
7x + 35 = 385              * transfer 35 to the other side and change its sign
7x = 385 - 35       
7x = 350                      *divide both sides by 7 to retain x.
7x / 7 = 350 / 7
x = 50

To check:

1st =  x    =  50                    =  50
2nd = 5x   = 5(50)                = 250
3rd = x + 35 = 50 + 35          =  85
                                             385

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