Ian bought a refrigerator and a home theater system. The original price of the refrigerator was $3400 and the original price of the home theater system was half the original price of the refrigerator. Ian was given a 33% discount on the home theater system. How much did Ian pay altogether?
Original price of the home theater system
= 3400 ÷ 2
= $1700

Discounted price of the home theater system in percent
= 100% - 33%
= 67%

100% of the price of the home theater system = 1700
1% of the price of the home theater system = 1700 ÷ 100 = 17
67% of the price of the home theater system = 67 x 17 = 1139

Discounted price of the home theater system = $1139

Total amount that Ian paid
= 3400 + 1139
= $4539

Answer(s): $4539