John bought a computer and a home theater system. The original price of the computer was $3000 and the original price of the home theater system was half the original price of the computer. John was given a 35% discount on the home theater system. How much did John pay altogether?
Original price of the home theater system
= 3000 ÷ 2
= $1500

Discounted price of the home theater system in percent
= 100% - 35%
= 65%

100% of the price of the home theater system = 1500
1% of the price of the home theater system = 1500 ÷ 100 = 15
65% of the price of the home theater system = 65 x 15 = 975

Discounted price of the home theater system = $975

Total amount that John paid
= 3000 + 975
= $3975

Answer(s): $3975