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?
To find the total sum of money, we can use the information given in the ratio.
Let's assume that the common ratio is 1 unit. Thus, the ratio 10:7:5 can be expressed as 10 units: 7 units: 5 units.
Now, we know that Y gets $14 more than Z. Since the common ratio is 1 unit, this means that 7 units (Y) gets $14 more than 5 units (Z).
So, we can set up an equation: 7 units (Y) - 5 units (Z) = $14.
Next, we need to solve this equation to find the value of 1 unit.
7 units - 5 units = $14
2 units = $14
1 unit = $14/2 = $7.
Now, we know that 1 unit represents $7. To find the total sum of money, we need to add up the amounts corresponding to the ratio.
The total sum will be 10 units (X) + 7 units (Y) + 5 units (Z).
Substituting the value of 1 unit ($7), we get:
Total sum = 10 ($7) + 7 ($7) + 5 ($7)
Total sum = $70 + $49 + $35
Total sum = $154.
Therefore, the total sum of money is $154.
To find how much X will get, we can also use the value of 1 unit ($7) and the ratio.
X gets 10 units, so we can calculate X's share:
X's share = 10 units ($7/unit) = $70.
Therefore, X will get $70.