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
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
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