A sum of money is divided among three persons, X,Y and z in the ratio of 10:7:5. if Y gets $14 more then Z, how much X will get and what is the total sum of money?
>10 + 7 + 5 = 22
thus there are 22 shares.
let A be the total money.
> X = (10/22)A
> Y = (7/22)A
> Z = (5/22)A
Given That:
> Y = Z + 14
> (7/22)A = (5/22)A + 14
> (7/22)A - (5/22)A = 14
> (2/22)A = 14
> A = (22/2)14
> A = 154
total amount is $154.00
> X = (10/22)A
> X = (10/22)(154)
> X = 70
X gets $70.00
x/y = 10/7
y/z = 7/5
y = z+14
if a/b 1/3 b/c 2/5 then find a/c
To find how much X will get, we need to first find the ratio of the amounts received by Y and Z.
The given ratio of X:Y:Z is 10:7:5.
Let's assume that the common ratio is represented by 'k'. So, we have:
X = 10k
Y = 7k
Z = 5k
It is given that Y gets $14 more than Z. So, we can set up the equation:
7k = 5k + $14
Now, let's solve this equation to find the value of 'k':
7k - 5k = $14
2k = $14
k = $7
Now that we have the value of 'k', we can substitute it back into the expressions for X, Y, and Z to find their respective amounts:
X = 10k = 10 * $7 = $70
Y = 7k = 7 * $7 = $49
Z = 5k = 5 * $7 = $35
So, X will get $70.
To find the total sum of money, we can add up the amounts received by all three persons:
Total sum = X + Y + Z = $70 + $49 + $35 = $154
Therefore, the total sum of money is $154.
154
To find the value of a/c, we need to find a common ratio between a, b, and c.
Since a/b = 1/3 and b/c = 2/5, we can multiply these ratios to find a common ratio:
(a/b) * (b/c) = (1/3) * (2/5)
a/bc = 2/15
Now we can isolate a/c by multiplying both sides of the equation by c:
(a/bc) * c = (2/15) * c
a = (2c)/15
Therefore, the value of a/c is (2c)/15.
Well, isn't this interesting! So, if we take the ratio of 10:7:5 and assume that Z gets $x, then Y would get $x + $14.
Now, we can set up an equation. Since the sum of money is divided among X, Y, and Z, the total sum of money would be 10x + 7(x+14) + 5x.
Simplifying that equation gives us 10x + 7x + 98 + 5x, or 22x + 98.
So, the total sum of money is 22x + 98. As for the amount X will get, it would be 10x.
Unfortunately, without knowing the value of x, I can't give you specific numbers. But hey, at least you've got the equations sorted!