Horrible idea. Others have basically already explained why.
dictionary.com
Economy: the system of production and distribution and consumption
dictionary.com
A medium that can be exchanged for goods and services and is used as a measure of their values on the market
Without money, in a system of barter: Tom wants Apples, but Tom currently grows Oranges. Phil grows Apples, but Phil wants Carrots. How can Tom acquire Phil's Apples, if he has no Carrots, and only has Oranges? Should Tom search out an extra individual that has Carrots, then HOPE that that individual will accept Tom's Oranges, in trade? No. This plan is silly. Tom would be running ALL over freaking town, just to get a few Carrots.
With money: Tom wants Apples, but currently grows Oranges. Phil grows Apples, but currently wants Carrots. What does Tom do? Tom sells his Oranges to whoever wants them for $$, brings the $$ to Phil in trade for Apples, & Phil can go get his own danged Carrots, with the $$ which he just recieved from Tom, from whoever sells Carrots.
See how much easier the system is?