how to set tax codes for meals and entertainment 50%recoverable

hello

I am trying to record meals and entertainment expenses where the gst/hst portion is 50 % recoverable. 

how do i set up this tax code so that the gst/hst claimed is 6.5% and the balance of the gst/hst is recorded in meals and entertainment?

i have tried to set up a tax code with 6.5% rate in my settings. but when i go to record the transaction, I have to manually input the amounts since it does not calculate the correct expense amount.

so my bill is for $100.97 and the tax is 13.13. I want to record gst/hst amount for ITC as $6.56 and the expense amount as $107.53.

I think i have not entered the sales tax codes in my settings properly since no matter what i enter as the expense, I do not get the right entry unless I enter it manually.

any recommendations are appreciated, 

thank you