Comparing 2 bottles of hydrocodone. Can I substitute?

I was recently prescribed 12 pills of hydrocodone for sun poisoning. According to the ER doc it's a pain killer/anti-inflammatory hybrid. One pill every 6 hours was doing nothing for me so I was taking 2 every 8. The bottle reads- Hydrocodone BT-IBU 7.5-200 TAB. Can someone break that down for me? Like does the 7.5 mean 7.5mg of IBU(ibuprofin)? Anyway, I have run out of pills and have no medical coverage at the moment. My mother offered me pills she had left over from a shoulder injury, which were still in date. That bottle read Hydrocodone-APAP 5-500 tablmck. What is the APAP and what is the difference between Tab and TablMck. Correct me if I'm wrong but the 500 is the mgs of hydrocodone? Would it not be ok to take one of these pills in place of the 2 I was previously taking? My mother also said her pills were for pain and swelling as well. Thankyou