Seth and Michael went to buy hi-fi systems at a sale. The usual price of 1 hi-fi system was $700 each.
SALEBuy 1 hi-fi system at 10% discount
Buy 2 or more hi-fi systems at 20% discount each
- Seth bought 1 hi-fi system. How much did he pay?
- What is the maximum number of hi-fi systems Michael can buy if he has $4000?
(a)
Discounted price of 1 hi-fi system in percent if only 1 was bought
= 100% - 10%
= 90%
100% of 1 hi-fi system = 700
1% of 1 hi-fi system = 700 ÷ 100 = 7
90% of 1 hi-fi system = 90 x 7 = 630
Amount that Seth paid for 1 hi-fi system = $630
(b)
Discounted price of 1 hi-fi system in percent if more than 1 was bought
= 100% - 20%
= 80%
80% of 1 hi-fi system = 80 x 7 = 560
Amount that Michael paid for 1 hi-fi system = $560
Maximum number of hi-fi systems that Michael can buy if he has $4000
= 4000 ÷ 560
= 7 r 80
Answer(s): (a) $630; (b) 7