Michael and Charlie went to buy hi-fi systems at a sale. The usual price of 1 hi-fi system was $900 each.
SALEBuy 1 hi-fi system at 5% discount
Buy 2 or more hi-fi systems at 10% discount each
- Michael bought 1 hi-fi system. How much did he pay?
- What is the maximum number of hi-fi systems Charlie can buy if he has $2000?
(a)
Discounted price of 1 hi-fi system in percent if only 1 was bought
= 100% - 5%
= 95%
100% of 1 hi-fi system = 900
1% of 1 hi-fi system = 900 ÷ 100 = 9
95% of 1 hi-fi system = 95 x 9 = 855
Amount that Michael paid for 1 hi-fi system = $855
(b)
Discounted price of 1 hi-fi system in percent if more than 1 was bought
= 100% - 10%
= 90%
90% of 1 hi-fi system = 90 x 9 = 810
Amount that Charlie paid for 1 hi-fi system = $810
Maximum number of hi-fi systems that Charlie can buy if he has $2000
= 2000 ÷ 810
= 2 r 380
Answer(s): (a) $855; (b) 2