Algebra word problem

Question

Fabrienne went clothing shopping and bought a new dress. The dress was on sale for 20% off and she had a coupon for an additional 15% off. If Sarah paid $54.40 after the discount and coupon, what was the original price of the dress? Create and solve an equation or inequality that represents the situation.

Answer 1

p represents the original price.

0.80p represents the price after the sale

(0.85)(0.80)p represents the price after the coupon

0.68p = 54.40

Can you solve for p and answer?

Answer 2

20+15=35% discount, so she paid 100-35=65% of the regular price

.65R = 54.4

R =54.4/.65 = approximately $83.69 rounded off and down to nearest cent

$83.69 = Regular Price before the discounts

UNLESS

the additional 15% discount may be not off the original price but off the discounted price after the 1st discount of 20%

which leads to a smaller original price

20% off means pay 100-20= 80% of the original price

15% off that 80% means a further discount of .80(.15) = 12%

20+12 % off means 32% off, paying 100-32= 68% off the original price

or

.68P = 54.4

P = 54.4/.68 = 5440/68 = $80 = original price before any discounts

20% off $80 = 80(.2)=16, paying $64

15% of $64 = $9.60

64-9.60 = $54.40