In your case, a bunch. Do you have braided line from back to front or just from the connection points? If it's the whole length of the chassis, it will be at least a few pounds.

There's also the "push on" type hose. It is slightly heavier than the woven type but will still be much lighter than braided steel. The main drawback to push on hose is that it can be a bear to assemble.There are assembly tools available now though and if you're going to do the whole car, it might be worth looking into. Push on hose uses barb fittings so you'd be buying all new fittings and hose ends if you switch everything. The barb fittings don't require separate tube nuts so that could save a little money.

Before you jump in though, you might want to look at the cost vs. weight savings. Fittings add up quick and you got a lot of 'em. You could re-use your old fittings with woven hose though I'm not sure you'd want to...changing out all the plumbing on your car ain't gonna be cheap no matter how slice it.

Just turn up the wick on the blower, you'll forget all about what kind of hose you have and how much it weighs.