Ben has a coupon for an additional 15% off the sale price of any item in a store he uses coupon to buy a shirt who sale price is already 20% off the original price he pays 14.96 and there is no sales tax what is the original price of the shirt

Respuesta :

Answer:

166.22

Step-by-step explanation:

1. convert percentages to decimals

20.00/100=.2

15.00*100=.15

2. convert problem to equation

x-.2x-.15x=14.96

3. isolate variable

x-.2x-.15x=14.96

____________

         -.2

x+x-.15x=-74.8

____________

        -.15

x+x+x=498.6666667

3x=498.6666667

4. solve for x

3x=498.6666667

_____________

            3

x=166.2222222

5. round to nearest hundredth

x=166.22