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Al, Betty, and Clare split $\$1000$ among them to be invested in different ways. Each begins with a different amount. At the end of one year they have a total of $\$1500$. Betty and Clare have both doubled their money, whereas Al has managed to lose $\$100$. What was Al's original portion?

 Feb 19, 2021
 #1
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 a      b      and    1000-a-b    are the amounts   

 

2a   + 2b   + (1000-a-b -100)  = 1500

a + b  + 900 = 1500

a + b = 600

 

1000 - (a+b)  =   400    is what Al had  

 Feb 19, 2021

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