Quandaries
and Queries 

Question: I am trying to determine the dimensions of a 22 megapixel digital camera chip that has a 3:2 ratio. We know then, that: 3x = 2y (or 1.5x = y) and that xy = 22 Beyond this, I don't know how to hook those 2 seemingly unrelated facts together. Thank you for your help. Matt 

Hi Matt, You haven't said what the units of x and y are. The prefix "mega" means 10^{6} so if you want x and y to be in pixels you need the second equation to be
Your first equation is
The way to connect these two equations is to substitute y = 1.5 x into the first equation to get
Now solve for x. Penny 

