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 106 so if you want x and y to be in pixels you need the second equation to be
xy = 22,000,000
Your first equation is
y = 1.5 x
The way to connect these two equations is to substitute y = 1.5 x into the first equation to get
xy = x (1.5)x = 22,000,000
1.5 x2 = 22,000,000
Now solve for x.
Penny