SOLUTION: I need to solve for R. 92=R-.08R

Algebra ->  Percentages: Solvers, Trainers, Word Problems and pie charts -> SOLUTION: I need to solve for R. 92=R-.08R      Log On


   



Question 70760: I need to solve for R.
92=R-.08R

Answer by bucky(2189) About Me  (Show Source):
You can put this solution on YOUR website!
92=R-.08R
.
Notice that 1R (or just R) and -0.08R are common terms and can be subtracted directly.
When you do this subtraction, the result is 0.92R. So now your equation is:
.
92+=+0.92R
.
You can solve for R by dividing both sides by 0.92. The equation becomes:
.
92%2F0.92+=+0.92%2AR%2F0.92
.
Performing the division results in:
.
100+=+R
.
That's the answer. Another approach you could take to get the same result is to factor R
out of the Right side. If you do this factoring, you get:
.
92+=+R%2A%281+-+0.08%29
.
The terms in the parentheses can be combined by subtraction to give you 0.92. The equation
then becomes:
.
92+=+R%2A0.92
.
This is the same result as we had before. Just divide both sides by 0.92 and you end
up with R = 100 again.
.
I hope this helps you with this problem.