SOLUTION: Three girls Devi, Rashida and Nicole shared a sum of money in the ration 6:5:4. Devi got Rs40 more than Nicole. 1) Calculate Rashida's share 2) How much Devi must give to Rashid

Algebra ->  Finance -> SOLUTION: Three girls Devi, Rashida and Nicole shared a sum of money in the ration 6:5:4. Devi got Rs40 more than Nicole. 1) Calculate Rashida's share 2) How much Devi must give to Rashid      Log On


   

Question 960724: Three girls Devi, Rashida and Nicole shared a sum of money in the ration 6:5:4. Devi got Rs40 more than Nicole.
1) Calculate Rashida's share
2) How much Devi must give to Rashida so that they share the same amount of money
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
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.