The Low-Energy Demonstration Accelerator (LEDA) injector is designed to provide 75-keV, 110-mA, proton beams for the LEDA RFQ. After testing the LEDA injector using a 1.25-MeV, CW RFQ, the authors shortened the low-energy beam transport (LEBT) to 2.69 m, replaced the first LEBT solenoid with one that has a shorter length but the same focusing power, and installed and operated the LEDA injector in the beam tunnel. In this paper the authors use the TRACE, SCHAR, and PARMELA computer codes to model the proton beam for the as-installed LEBT and the authors compare the results of these simulations with the LEBT beam measurements. They use the computer code PARMTEQM to transport the SCHAR- and PARMELA-generated beams through the RFQ so that they can compare the predicted RFQ performance with the measured RFQ performance. For a 100-mA, 0.239-{rho}-mm-mrad input beam, PARMTEQM predicts the LEDA RFQ transmission will be 92.2%