SOLUTION: 1.Vumile,Nompumelelo and Nomsa are given money in the ratio of their ages.They are turning 14,16 and 18.If the total given to all three girls is R2 000 ,how much money was give to

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: 1.Vumile,Nompumelelo and Nomsa are given money in the ratio of their ages.They are turning 14,16 and 18.If the total given to all three girls is R2 000 ,how much money was give to       Log On


   



Question 951747: 1.Vumile,Nompumelelo and Nomsa are given money in the ratio of their ages.They are turning 14,16 and 18.If the total given to all three girls is R2 000 ,how much money was give to Nompumelelo
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
their ages are 14, 16, and 18
the money will be given to them in the same ratio as their ages.
a total of 2000 will be given to them.
let x equal a common unit of multiple that will be applied to each.
you get:
14x + 16x + 18x = 2000
combine like terms to get 48x = 2000
divide both sides of this equation by 48 to get x = 2000/48 which simplifies to x = 125/3.
14*125/3 = 583 and 1/3
16*125/3 = 666 and 2/3
18*125/3 = 750
add them up and you get 2000.
Vumile gets 583 and 1/3.
Nompumelelo gets 666 and 2/3.
Nomsa gets 750.
your solution is that Nompumelelo gets 666 and 2/3 rupees.
the common ratio of rupees to age is 41 and 2/3.
each person gets 41 and 2/3 times their age in rupees.