Glen and Howard went to buy stereo systems at a sale. The usual price of 1 stereo system was $300 each.

SALE
Buy 1 stereo system at 5% discount
Buy 2 or more stereo systems at 10% discount each

1. Glen bought 1 stereo system. How much did he pay?
2. What is the maximum number of stereo systems Howard can buy if he has $8000?

(a)
Discounted price of 1 stereo system in percent if only 1 was bought
= 100% - 5%
= 95%

100% of 1 stereo system = 300
1% of 1 stereo system = 300 ÷ 100 = 3
95% of 1 stereo system = 95 x 3 = 285 

Amount that Glen paid for 1 stereo system = $285

(b)
Discounted price of 1 stereo system in percent if more than 1 was bought
= 100% - 10%
= 90%

90% of 1 stereo system = 90 x 3 = 270

Amount that Howard paid for 1 stereo system = $270

Maximum number of stereo systems that Howard can buy if he has $8000
= 8000 ÷ 270
= 29 r 170

Answer(s): (a) $285; (b) 29