Question

Jane and Ken share some money in the ratio of 5:3

Answer 1

Jane and Ken share some money in the ration 5:3 Ken's share is $16 less than Jane's share. FInd each person's share.
The money is shared in the ratio 5:3
That means that Jane gets 5 parts of the total money and Ken gets three parts.
So then there are 8 parts of the money (5 + 3 = 8)
Jane has 2 parts more than Ken (5 - 3 = 2)
And those 2 parts are equal to $16 (the question says so)
So one part is equal to $8
Each person's share then is: Jane has 5 parts = $40, Ken has 3 parts = $24

Answer 2

Let Jane's share = x

Equation

5:3 :: x:(x - 16)

5/3 = x / (x - 16)    

Solve

Cross multiply

5*(x - 16) = 3*x

5x - 80 = 3x      Add 80 to both sides.

5x = 3x + 80      Subtract 3x from both sides.

5x - 3x = 80

2x = 80             Divide by 2

x = 80/2

x = 40

So Jane's share is 40 dollars and Ken's is 40 - 16 = 24 dollars<<< Answer