+414 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 ?
+128406 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
+128406 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
