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A man spends 1/9 of his salary on rent, 1/2 on food, and 1/4 on clothes. If he has 20 dollars left at the end of the month, how much does he earn?

 May 20, 2021
 #1
avatar+129852 
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Let T  be   the  total  amount  he earns....so....

 

T  - (1/9)T  -  (1/2)T  - (1/4)T   =   20              common denominator =  36

 

(36/36)T  - (4/36)T  -  (18/36)T - ( 9/36)T   = 20

 

(5/36)T  =  20

 

T  =  20 ( 36/5)   =   $144

 

 

cool cool cool

 May 20, 2021

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