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Nicholas and Nicole saved the same amount of money. After Nicholas lent $82 to Nicole, Nicole had 5 times as much money as Nicholas. How much did Nicole have in the end?

 Feb 28, 2020
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Let d = initial amount that both have.  We are told that:

 

d + 82 = 5*(d - 82)  

 

d + 82 = 5d -5*82

 

Subtract d from both sides and add 5*82 to both sides to get

 

6*82 = 4*d

 

so d = 6*82/4  = $123

 

Hence final amount Nicole had = $123 + $82 = $205

 Feb 28, 2020

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