Final answer:
The Red Cross can provide 300 food packages and WIC can provide 200 food packages to NYC homeless shelters.
Step-by-step explanation:
To determine how many food packages each organization can provide to NYC homeless shelters, we need to look at the remaining resources after providing the required first-aid kits. The Red Cross currently provides 10 kits, and WIC provides 10 kits. Therefore, the Red Cross has 300 food packages remaining, and WIC has 200 food packages remaining.