Actually, I have to apologize, the convertible laptops I provided links to are really not applicable to your needs. Previous to answering your question I was providing answers / recommendations in several different threads where people were looking for convertible laptop / tablets that obviously has a much higher price point.
I guess Carbonate was kinda right call 'em overpriced garbage... at least in your case...
Unfortunately, the addition of a touchscreen is typically adds a $75 - $100 premium in a laptop so searching for one within a reasonable range of your desired budget may be difficult and will take more time....
14" Lenovo IdeaPad U430p = $549 / $559 depending on the color. Similar to the Z410, but this is an ultrabook so you get a lighter laptop that is easier to carry around. 3.8lbs starting weight
14" Lenovo Flex = $549 with the Core i3-4010u. Do not get the much weaker Celeron version for $449. You will likely regret your decision sooner rather than later if you buy the cheapest one. TOUCHSCREEN. It is similar to the Yoga, but you cannot fold the screen all the way back to turn it into a tablet. 4.4bls.
15.6" ThinkPad E545 - Business laptop with an AMD APU so you can also play games. Base price $439 with a relatively weak dual core A6-5350m and a relatively weak graphics core as well. Add the $70 option for the quad core A10-5750m and you can play games with the current most powerful integrated graphics core; the Radeon HD 8650g... oh yeah... you can also do school work too (boooorinnngggggg...zzz, zzz, zzz). Average weight for a 15.6" laptop at 5.4bls.
That's all for now. I got other things I need to do tonight....
Just because you may not be able to afford one of those products or if you are not willing to spend that much does not mean that other share your own limited point of view.
I was going to mention that for the previous prices you mentioned he can get a laptop with a dedicated graphics card if he enjoys video games instead of something that compact and expensive, such as a Lenovo IdeaPad for $849.99 which comes with an i5 processor and Nvidia 750M SLI if you need to blow off some steam though it is not touchscreen. And whatever the fuck you name is, just because someone makes a quick post you don't have to immediately degrade it you ignorant fuck. Touchscreen is also useless on a laptop the most your going to be doing is opening applications I don't know any computer literate and sensible person that recommends blowing off money touchscreen.
OP should of found his answer by now. I'll do the honours and call it /Thread.