# math

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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?

• math -

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.

• math -

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

• math -

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?

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