Counting repetition with associated quantity

I would like to count the number of times my products are sold.I tried COUNTIF, but it does not take into account the quantity associated obviously.In the columns E G I I have the number of products and in the columns F H J I have the name of the productIn the screen 1 we see :5 DRA7 FILE2 MUS1 Gra1 He

But COUNTIF will find :5 DRA4 FILE instead of 7etc.

Is there a function that could take into account the quantity of columns E G and J at the same time?

Link : https://docs.google.com/spreadsheets/d/1_hXWlkJxzP-7QbUW6G4Ymk4Zzg2TxfzDWNEp1MGYl2Y/edit?usp=sharing

Thanks a lot for your help :)