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Dan and Paul share Money in the ratio 9:5 Dan gives £39 to Paul to make 1:1 ratio how much did Dan have originally

 
 Jan 11, 2019
 #1
avatar+15327 
+2

Let's find out how much money they had between the two fo them = x

 

9 parts + 5 parts = 14 parts

 

9/14 x - 39 = 7/14 x      solve for x = 273

 

273/14 = 19.50 /part      Dan origianlly had 9 parts   9 parts x 19.50/part =   L  175.50

 
 Jan 11, 2019
 #2
avatar+94300 
+1

Let A be the total amount of money

 

So   the amount that Dan has originally  =  (9/14)A

And the amount that   Paul has is (5/14)A

 

So.....when Dan gives Paul £39, they have an equal amount

 

So

 

(9/14)A - 39  =  (5/14)A + 39        simplify

 

[ 9/14 - 5/14] A = 78

 

[ 4/14]A = 78

 

[ 2/7 ]A = 78

 

A = 78 (7/2)  = £ 273

 

So ....Dan had   (273)(9/14)  = £ 175.5

 

 

 

cool cool cool

 
 Jan 11, 2019

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