Asher and David went to buy stereo systems at a sale. The usual price of 1 stereo system was $1100 each.
SALEBuy 1 stereo system at 10% discount
Buy 2 or more stereo systems at 25% discount each
- Asher bought 1 stereo system. How much did he pay?
- What is the maximum number of stereo systems David can buy if he has $4000?
(a)
Discounted price of 1 stereo system in percent if only 1 was bought
= 100% - 10%
= 90%
100% of 1 stereo system = 1100
1% of 1 stereo system = 1100 ÷ 100 = 11
90% of 1 stereo system = 90 x 11 = 990
Amount that Asher paid for 1 stereo system = $990
(b)
Discounted price of 1 stereo system in percent if more than 1 was bought
= 100% - 25%
= 75%
75% of 1 stereo system = 75 x 11 = 825
Amount that David paid for 1 stereo system = $825
Maximum number of stereo systems that David can buy if he has $4000
= 4000 ÷ 825
= 4 r 700
Answer(s): (a) $990; (b) 4