Help me with this hard math problem please to study for math team!?

Question

On Monday, a store gives a discount of 20% on the original price of a coat. On Tuesday, the store raises the discount price of the coat by 50%. This new price of the coat is $18 more than the original price of the coat. Find the number of dollars in the original price of the coat.
Thanks,
Kickgirl91

Answer 1

if you have 100% of the coat price and take 20% off you are down to 80% of the origional price. then if we add 50% of 80% to 80% we get 120% of the origional price. this means that $18 is 20% so then all we need to do is times $18 by 5 which is $90 and thats your answer

Answer 2

The discounted coat cost 80/100 times the original cost of the coat.Tuesday's price is 150/100 multiplied 80/100 times the original cost of the coat. That works out at 120/100 times the original price.
That is 20% more than the original cost of the coat and equals $18.
If 20/100 of the cost of the coat is $18, then the original coat costs 5 multiplied by $18 or $90.

Answer 3

Solve for x, where

discounted 20% of x, so first price is .8x

raised discount price by 50% so new price = 1.5(.8x) = 1.2x

1.2x - x = 18

.2x = 18

x = 90