I'm sorry I can't read the Japanese words you wrote, but
I'll just guess from the context.
There are usually two types of serving suggestion on a package of udon noodles.
Tsuke-udon style comes udon in one dish and tsuyu(broth or sauce, almost) in a little cup; in this style, you kind of dip the noodles in tsuyu while you eat, and the broth is usually thinned double or triple with water.
Kake-udon style is served in a hot broth in a big bowl, comes with toppings like onions, fried flour pieces and other vegetables. The broth should be thinned four or five times more compared to the one for tsuke since the noodles stay in the broth while you eat them.
Did I answer your questions, Elizabeth?