The bookstore marked some notepads down from $3.00 but still kept the price over $2.00. it sold all of them. the total amount of money from the sale of the pads was $36.55. how many notepads were sold? what was the price of each notepad?

The number of notepads sold will be 17 and the price of each notepad is $2.15

Let's assume, the price of each notepad is X and the number of notepads sold is Y

As the price of each notepad is below $3.00 and over $2.00 , that means

X < 3.00 and X > 2.00

As the number of notepads sold is Y, so the total price of all X number of notepads will be : XY

Here it is given that, the total amount of money from the sale of the pads was $36.55

So, XY = 36.55

⇒ Y =

For X < 3.00 ,

Y > (when X is max, then Y will be min)

⇒ Y > 12.183

and for X > 2.00,

Y < (when X is min, then Y will be max)

⇒ Y < 18.275

As here Y is the number of notepads sold, so the value of Y must be a whole number. The minimum value of Y will be 13 and maximum value will be 18.

Now we will use hit and trial method

If Y= 13 , then X =

If Y= 14 , then X =

If Y= 15 , then X =

If Y= 16 , then X =

If Y= 17 , then X =

and if Y = 18 , then X =

So, for getting XY= 36.55 exactly, the value of X= 2.15 and the value of Y=17.

So, the number of notepads sold will be 17 and the price of each notepad is $2.15