A baker charges N dollars for a birthday cake. Next week, she intends to earn 320 dollars selling cakes. If she were to reduce the price of the cake by 20 percent, she would have to sell two more cakes to earn the same amount of revenue. How many cakes does she intend to sell next week?  Choose the correct choice from the following options:
A) 2 B) 4 C) 6 D) 8 E) 10

Rationale: we ' re told that by selling cakes at n dollars / cake , a baker will make $ 320 . reducing the price by 20 % and selling 2 more cakes will also make her $ 320 . we ' re asked for the original number of cakes that the baker intends to sell . $ 320 is a rather interesting number . based on the answer choices , we ' re almost certainly dealing with integer values for the number of cakes and the price per cake . as such , 6 is probably not going to be part of the solution ( either as 4 and 6 cakes or as 6 and 8 cakes ) . as such , we can avoid answers b and c . . . . let ' s test answer d : 8 cakes if . . . . original cakes = 8 8 ( n ) = $ 320 , so n = $ 40 / cake 20 % off = $ 8 off = 40 - 8 = $ 32 / cake + 2 more cakes = 8 + 2 = 10 cakes 10 ( 32 ) = $ 320 this is an exact match for what we were told , so this must be the answer . final answer : d
Answer: D