Women with children avoid know homeless areas. Those places have a lot of violent men. Hell, if I were homeless I'd avoid them.
Counting the homeless isn't easy. But we do know that 19.9 million children are registered in the food stamp program. That possibly works out to 1 in 4 children are on food stamps.
New data show 1 in 4 children on food stamps in FY 2011 | The Daily Caller
Crazy part, your food stamp allowance is based partially on your monthly rent/house payment. So if you pay $500 a month for an apartment and become homeless your allowance drops drastically. If somehow the landlord doesn't throw you out, but you're not paying the $500 you can still claim you're paying $500 in housing.