if X is 10% of two other numbers,Y and Z,and Z is 3 times the value of Y.What percentage is X of Y alone ? please show me how you work it out,thanks
To find the percentage of X in terms of Y alone, we need to determine the values of Y and Z first.
Let's assume the value of X is "x".
According to the given information, X is 10% of Y and Z.
Mathematically, this can be expressed as:
x = 0.1Y (Equation 1)
x = 0.1Z (Equation 2)
Furthermore, it is mentioned that Z is 3 times the value of Y:
Z = 3Y
Now, we can substitute the value of Z in Equation 2 from the given relationship Z = 3Y:
x = 0.1(3Y)
x = 0.3Y
Therefore, X (x) is 0.3Y, or 30% of Y.
So, X is 30% of Y alone.
To recap the steps:
1. Assume the value of X as "x".
2. Express X as a percentage of Y and Z using the equations: x = 0.1Y and x = 0.1Z.
3. Use the information that Z is 3 times Y (Z = 3Y) to substitute Z in Equation 2.
4. Simplify the equation to x = 0.3Y, meaning X is 30% of Y alone.
given: Z = 3Y
Do you mean X is 10% of the sum of Y and Z ??
If so, then
X = (1/10) (Z + Y)
= Z/10 + Y/10
= 3Y/10 + y/10
= 4Y/10
percentage of X/Y
= (4Y/10) / Y
= 4/10 = 40/100 = 40%