SOLUTION: What single discount is equivalent to two successive discounts of 15% and 7%?

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: What single discount is equivalent to two successive discounts of 15% and 7%?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 542359: What single discount is equivalent to two successive discounts of 15% and 7%?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
The first discount is represented by the equation: x-0.15x = 0.85x where x is the original price.


The second discount is

0.85x - 0.07*0.85x


0.85x - 0.0595x = 0.7905x


So the final price is 79.05% of the original price.


So the combined discount is 100% - 79.05% = 20.95%