The total cost = $550
If only one person attend the party, the cost is 550 ÷ 1
If two people attend the party, the cost is 550 ÷ 2 per person
If three people attend the party, the cost is 550 ÷ 3 per person
If four people attend the party, the cost is 550 ÷ 4 per person
If 'p' people attend the party, the cost is 550 ÷ p
the cost per person = 550/p
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p = 25
cost per person = 550÷25 = $22
p = 50
cost per person = 550÷50 = $11
p = 55
cost per person = 550÷55 = $10