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John, Kenny and Lawrence shared some money in the ratio 9:8:15.After Lawrence gave 40% of his money to Kenny, Kenny had $60 more than John. How much did Lawrence give to Kenny ?

 Aug 5, 2015

Best Answer 

 #1
avatar+107365 
+5

Lawrence has (15/32) of the money before he gave any away....and Kenny had (8/32) =(1/4) of the money before getting any from Lawrence....and John has (9/32) of the money, originally...call T the total...and we know that....

 

(1/4)T + .40(15/32)T =  (9/32)T + 60    simplify

 

(1/4)T + (2/5)(15/32)T  = (9/32)T + 60

 

(1/4)T + (3/16)T  = (9/32)T + 60

 

(7/16)T  = (9/32)T + 60     subtract (9/32)R from both sides

 

(7/16 - 9/32)T   = 60

 

(5/32)T = 60     multiply both sides by (32/5)

 

T = 60(32/5)  = $384   and this is the total  amount of money

 

And Lawrence gave Kenny  (3/16)(384)  = $72

 

 

 Aug 5, 2015
 #1
avatar+107365 
+5
Best Answer

Lawrence has (15/32) of the money before he gave any away....and Kenny had (8/32) =(1/4) of the money before getting any from Lawrence....and John has (9/32) of the money, originally...call T the total...and we know that....

 

(1/4)T + .40(15/32)T =  (9/32)T + 60    simplify

 

(1/4)T + (2/5)(15/32)T  = (9/32)T + 60

 

(1/4)T + (3/16)T  = (9/32)T + 60

 

(7/16)T  = (9/32)T + 60     subtract (9/32)R from both sides

 

(7/16 - 9/32)T   = 60

 

(5/32)T = 60     multiply both sides by (32/5)

 

T = 60(32/5)  = $384   and this is the total  amount of money

 

And Lawrence gave Kenny  (3/16)(384)  = $72

 

 

CPhill Aug 5, 2015

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