Engine dies when I step on the gas

I'm thinking my accelerator pump has gone bad in my 67' dart. Few days ago I was driving it home, I barely pressed the gas and it stumbled and died. I've been driving the car pretty much everyday since then with no observable issues. The carb is a 1920 that the previous owner replaced fairly recently now (1-2 years old) The car still idles fine but as soon as I press the pedal the slightest in park, drive, or neutral that's when it gives up. Any thoughts?
Believe it or not, I was having the same problem on mine. I ended up replacing the fuel pump (because it was the least expensive thing to change out), then I purchased a rebuild kit for my carb. I went through and replaced the gaskets and adjusted the bowls and the thing cranks like a champ. Not only that, but I adjusted the choke and linkage while I was there and I have seen an improvement in its run/idle. This video helped me a lot (of course, it won't be much help if you're not running a Holley 1940 or 45).


Best of luck!