Flux dependant upon the number of turns?

[Matthew1994]

https://atarnotes.com/forum/index.php?topic=144870.msg953546#msg953546

http://i.imgur.com/XtCj6OP.png (worked solution on left and plain answer on right; they aren't the same and neither take into account the number of turns, which adds to the confusion)
Is the book's answer correct? Doesn't the flux increase when you increase the number of turns of wire? I'm getting conflicting information from multiple places: https://physics.stackexchange.com/q...-of-turns-in-a-loop-part-of-the-magnetic-flux the dude says N (number of turns of wire) affects ϕ.
Also: http://i.imgur.com/hzwGz0n.png the book even plainly states that. However, nowhere in the book is N included in the ϕ=BA equation.
What's going on!?
I have a test on this area in 4 hours and i need to know this

 

[Dale]

The EMF in a coil is certainly dependent on the number of turns of the coil. You can think of it as being the difference between the area of a circle and the area of a helix.