A motorcycle importer is planning on increasing the price of a certain model by $1000. At this new price 7 fewer motorcycles will be sold per month, but the total revenues will increase by $26,000 to $594,000. What is the number of motorcycles the manufacturer will sell at this new price?  Choose the correct answer: A) 62 B) 63 C) 64 D) 65 E) 72
I will make an equation in x and then make educated guesses. Here's how:   Assuming x motorcycles were sold every month initially.   (568000/x + 1000)(x-7) = 594000   (568/x + 1)(x-7) = 594   Now 568 = 8*71   Assuming x = 71 (We have all integers so it is obvious that 568/x should be an integer.   We get  9*66= 
<gadget id="calculator"> 9*66</gadget>
<output>594</output>
594 (matches)   So he will sell  71 - 7= 
<gadget id="calculator"> 71 - 7</gadget>
<output>64</output>
64 bikes this month   Answer (64)
<result>C</result>
A motorcycle importer is planning on increasing the price of a certain model by $1000. At this new price 7 fewer motorcycles will be sold per month, but the total revenues will increase by $26,000 to $594,000. What is the number of motorcycles the manufacturer will sell at this new price?