Question 960724
the girls are given money in the ratio of 6:5:4.
you get:
D:R:N = 6:5:4



if you assume the total amount of money that they received is equal to 15x, then:


D gets 6x
R gets 5x
N gets 4x


this is because 6x + 5x + 4x = 15x.


you are told that D gets 40 more than Nicole.


this means that 6x = 4x + 40


subtract 4x from both sides of this equation to get 2x = 40.


divide both sides by 2 to get x = 20


D gets 6 * 20 = 120
R gets 5 * 20 = 100
N gets 4 * 20 = 80


ratio is 120:100:80 which simplifies to 12:10:8 which further simplifies to 6:5:4.


since D gets 120 and R gets 100, D must give R 10, after which D will get 110 and R will also get 110.