Dylan bought a portable air-conditioner and a home theater system. The original price of the portable air-conditioner was $2800 and the original price of the home theater system was half the original price of the portable air-conditioner. Dylan was given a 17% discount on the home theater system. How much did Dylan pay altogether?
Original price of the home theater system
= 2800 ÷ 2
= $1400

Discounted price of the home theater system in percent
= 100% - 17%
= 83%

100% of the price of the home theater system = 1400
1% of the price of the home theater system = 1400 ÷ 100 = 14
83% of the price of the home theater system = 83 x 14 = 1162

Discounted price of the home theater system = $1162

Total amount that Dylan paid
= 2800 + 1162
= $3962

Answer(s): $3962