how do i solve this for x
y = x/(x+z)
really bugging me. Is it possible. If you need more information on it i can explain what I'm trying to work out.
If i have an amount which i will call z and i want to add another amount to it which i will call x but i want the amount x to be a certain percentage of x + z. The certain percentage is y represented as a number less than 1.
.25 = 5/(5+15)
25%
i want to be able to take the percentage and the original amount and find out what x need to be to match the original amount to the percentage y.
Any help would be much appreciated.
y = x/(x+z)
1. Multiply on both sides to get y(x+ z)= x.
2. Expand the bracket to get yx+ yz= x.
3. Subtract both yz and x from both sides to get yx- x= -yz
4. Factor x out on the left to get (y- 1)x= -yz.
5. Divide both sides by y- 1.