Question 1139369
a = the original price


b = the discount price.


c = the additional discount price.


the discount price is equal to the retail price minus 20%.


that would be a - .20 * a = .8 * a.


therefore b = .8 * a.


the additional discount price is equal to the discount price minus 10%.


that would be b - .1 * b = .9 * b.


therefore c = .9 * b.


since c = .9 * b and b = .8 * a, then c = .9 * .8 * a which makes c = .72 * a.


since you ended up paying $792, then .72 * a = $792.


solve for a to get a = $792 / .72 = $1100.


the original price was $1100.


20% discount off $1100 = $220, resulting in a discount price of $880.


additional discount of 10% off $880 results in a final discount price of $880 - $88 = $792.


solution looks good.


solution is that the original price of the music system was $1100.