A shirt was reduced by 20%. Including the 5% sales tax, Cyndi paid $15.54. What was the original price of the shirt before the discount was applied?

Question

Please explain in kid friendly terms, thanks.

Answer 1

p represents the original price

5% = 0.05

A reductions of 20% means 80% of the price remains

80% = 0.80

 

(p + 0.05p)(0.08) = $15.54

(1.05p)(0.80) = $15.54

0.84p = $15.54

p = $18.50

 

Check

(1.05)(18.50) = 19.425

(19.425)(0.80) = 15.54