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The French didn't disperse all of their tanks among infantry. They had more tanks so in addition to the dispersed fleet they had their own armored divisions, in addition to a higher level of motorization as a whole.
On the 10th of May the Allies had:
5 Divisions Légères de Cavalerie (half-motorized)
At least 7 (1st,3rd,5th,9th,12th,15th,25th) infantry divisions designated as motorized
3 Divisions Légères Mécaniques (armored)
3 Divisions Cuirassées de Reserve (armored)
Plus a few cavalry units, the army-sized BEF that had a very high level of motorization and the mobile components of the Dutch and Belgian armies.
Germany had 10 Panzer, 1 cavalry and 6 motorized (including SS-Totenkopf and SS-Verfügungs) divisions.
The Allied mobile component was there, but like the rest of the army it was in the wrong place in the wrong time.