The Happy Puppy Time company offers 3-hour long sessions where they bring puppies to schools, nursing homes, and offices to help cheer people up. The price depends on how many puppies you want them to bring, and they have two Puppy Party plans.
Plan A: $20 per puppy, plus a $50 event fee.
Plan B: 10 free puppies, $5 per puppy for any additional puppies, and a $350 event fee.
Which inequality will help determine when the cost of a party with p puppies using Plan A is less than the cost of a party with the same number of puppies using Plan B?