Dylan and Howard went to buy projectors at a sale. The usual price of 1 projector was $1700 each.

SALE
Buy 1 projector at 10% discount
Buy 2 or more projectors at 15% discount each

1. Dylan bought 1 projector. How much did he pay?
2. What is the maximum number of projectors Howard can buy if he has $8000?

(a)
Discounted price of 1 projector in percent if only 1 was bought
= 100% - 10%
= 90%

100% of 1 projector = 1700
1% of 1 projector = 1700 ÷ 100 = 17
90% of 1 projector = 90 x 17 = 1530 

Amount that Dylan paid for 1 projector = $1530

(b)
Discounted price of 1 projector in percent if more than 1 was bought
= 100% - 15%
= 85%

85% of 1 projector = 85 x 17 = 1445

Amount that Howard paid for 1 projector = $1445

Maximum number of projectors that Howard can buy if he has $8000
= 8000 ÷ 1445
= 5 r 775

Answer(s): (a) $1530; (b) 5