Tommy and Asher went to buy projectors at a sale. The usual price of 1 projector was $1600 each.

SALE
Buy 1 projector at 15% discount
Buy 2 or more projectors at 25% discount each

1. Tommy bought 1 projector. How much did he pay?
2. What is the maximum number of projectors Asher can buy if he has $4000?

(a)
Discounted price of 1 projector in percent if only 1 was bought
= 100% - 15%
= 85%

100% of 1 projector = 1600
1% of 1 projector = 1600 ÷ 100 = 16
85% of 1 projector = 85 x 16 = 1360 

Amount that Tommy paid for 1 projector = $1360

(b)
Discounted price of 1 projector in percent if more than 1 was bought
= 100% - 25%
= 75%

75% of 1 projector = 75 x 16 = 1200

Amount that Asher paid for 1 projector = $1200

Maximum number of projectors that Asher can buy if he has $4000
= 4000 ÷ 1200
= 3 r 400

Answer(s): (a) $1360; (b) 3