Fred bought a washing machine and a home theater system. The original price of the washing machine was $4000 and the original price of the home theater system was half the original price of the washing machine. Fred was given a 11% discount on the home theater system. How much did Fred pay altogether?
Original price of the home theater system
= 4000 ÷ 2
= $2000

Discounted price of the home theater system in percent
= 100% - 11%
= 89%

100% of the price of the home theater system = 2000
1% of the price of the home theater system = 2000 ÷ 100 = 20
89% of the price of the home theater system = 89 x 20 = 1780

Discounted price of the home theater system = $1780

Total amount that Fred paid
= 4000 + 1780
= $5780

Answer(s): $5780