They both will handle Photoshop and Corel5.
But you did not provide enough details to know which is the better option or if that 10% extra for the 'i3' is worth it.
Is the Dual Core a Pentium Txxx? If it is go with the i3. The extra 10% you pay you will see in improvement from the cpu. The 1st gen i3's and such performed 10% better over the core 2 cpu's. I own a pentium dual core @2.2GHz laptop from ASUS that works extremely well! You can't hear the cpu cooler in my laptop even if its maxed out. Asus does an amazing job at cooling in their laptops. Just though I would share that little tidbit.