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

Guest Jan 11, 2019

#1**+1 **

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

ElectricPavlov Jan 11, 2019

#2**+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

CPhill Jan 11, 2019