Ethan had $8 more than Dakota. Ethan then gave 1/4 of his money to Dakota. The ratio of money Ethan had to the money Dakota had then became 5:7. How much money did Ethan give to Dakota?

Answer 1

original:
Dakota --- x
Ethan ----- x+8

after give-away:
Dakota --- x + (1/4)(x+8)
= (4x + x+8)/4 = (5x+8)/4
Ethan ---- (3/4)x = 3x/4

3x/4 : (5x+8)/4 = 5 : 7
3x : 5x+8 = 5/7
3x/(5x+8) = 5/7
25x+40 = 21x
we will get a negative value of x, so this question is bogus, not possible

Answer 2

Reiny, you were doing it wrong