Ethan and Simon went to buy hi-fi systems at a sale. The usual price of 1 hi-fi system was $400 each.
SALEBuy 1 hi-fi system at 20% discount
Buy 2 or more hi-fi systems at 25% discount each
- Ethan bought 1 hi-fi system. How much did he pay?
- What is the maximum number of hi-fi systems Simon can buy if he has $5000?
(a)
Discounted price of 1 hi-fi system in percent if only 1 was bought
= 100% - 20%
= 80%
100% of 1 hi-fi system = 400
1% of 1 hi-fi system = 400 ÷ 100 = 4
80% of 1 hi-fi system = 80 x 4 = 320
Amount that Ethan paid for 1 hi-fi system = $320
(b)
Discounted price of 1 hi-fi system in percent if more than 1 was bought
= 100% - 25%
= 75%
75% of 1 hi-fi system = 75 x 4 = 300
Amount that Simon paid for 1 hi-fi system = $300
Maximum number of hi-fi systems that Simon can buy if he has $5000
= 5000 ÷ 300
= 16 r 200
Answer(s): (a) $320; (b) 16