Thread: Easy (although hard for me) math problem

I have no idea how to do this...

Suppose that on Wednesday a ipod company earns $17197 from selling ipods @ an even dollar price which is greater than $1 and on Thursday the ipod store earns $17371 from selling ipods @ that same even dollar price as on Wednesday. Determine the number of ipods the company sold each day and @ what even dollar price (greater than $1)?

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So I'm confused by this "even dollar" thing.

I thought of just finding the GCD(17197, 17371) which is 29, then dividing each of those numbers by it...

So 17197/29 = 593 and 17371/29 = 599

Not sure what this says or what to do now. Thanks for the help.

Hello, DiscreteW!

You found the answers . . . you just didn't recognize them.

On Wednesday a company earned $17197 from selling ipods at an even dollar price
and on Thursday the company earned $17371 from selling ipods at that same price.
Determine the number of ipods the company sold each day and at what price?

- - - - - - - -

So I'm confused by this "even dollar" thing.
. . I'm sure it means "whole dollar" price.

I thought of just finding the GCD(17197, 17371) which is 29,
then dividing each of those numbers by it. . . . . Good!

So: . . . . . Yes!

Not sure what this says or what to do now.

Note that 29, 593, and 599 are primes.



Since , then on Wednesday,

. . the store sold: .



Since , then on Thursday,

. . the store sold: .



Since the price was the same on both days,

. .