Hi,
first, do not make any calculation based on buying machines, but on maintaining them. It maybe easy for you to get a budget for 100 laptops. But if these laptops are carried around by the kids, are to be used with current software, to be replaced every two years (max. life-span I would give to a mobile device under such conditions), you will need at least three additional stadd for doing just that. And how easy is it to get the budget for hiring staff? You do not want to have teachers, who should care about the kids, use their time in doing it administration and servicing, right?
I think my proposal would be a real thin client. A perfect solution may be something like Sun's Ray, as there is NO (zero) software installed on the client. This means that replacing a broken terminal requires you to plug-in one, that's it. Can be done by everyone who is able to change a light-bulb. Sun has huge reductions for educational institutions by the way. Attach this to a relieable server with some failover and such. Spend 2/3 of your it-budget in this, including its maintainance. Best is to get it with a service contract for the expected life-span. Do not even think about building this on your own or saving some dollars here, again, you do not want your teachers spend theit time on computers later.
While the work-hour of someone servicing a centralized server is usually higher then the salary of a guy offering you to take care of laptops for some dollars, there will be only one server to maintain. Every software installation will be done only once. You will not have kids with laptop bags waiting in queues to get their software updated. You can scale it up as needed (at least if you take a machine that is designed for this and not some PC in a server box). Add memory, CPU and such to the server when you need it, install the latest software, make backups - but NEVER have the it service and the kids in the same room ;-)
The only reason for laptops is if kids really have to use it at home. But again, such a machine will be dead after two years, and replacement parts and servicing costs are high, so this will eat up your it and your human ressources budget.