math
posted by Alex on .
How would I do this? A sum of money is divided among three persons, X,Y,Z, kn the ratio 10:7:5. If Y gets $14 more than Z, how much will X get and what is the total sum of money? There is no total sum so how do I find it?

Y = Z + 14 and
7Y = 5Z
Substitute Z + 14 for Y in the second equation and solve for Z. Go to the first equation to get Y. After that, it should be no problem to find X.
I hope this helps. Thanks for asking. 
Y=Z+14(i)
X Y Z
10 7 5
FRPM LAST TWO RATIOS:
5Y=7Z
FROM EQUATION (i)
5(Z+14)=7Z
Z=$35
NOW PUTTING Z=35 IN (i)
Y=35+14
Y=$49
NOW FROM FIRST TWO RATIOS
7A=10B
7A=10*49
A=$70
TOTAL MONEY= $70+$49+$35=$154 
13500 is to be distributed between Salma kiran and Jennifer such a way that Salma gets 100 more than kiran and Jennifer gets 500 more than kiran?find out the money?