Five dozens of people is equal to 5 x 12 = <<5*12=60>>60.
60 x 2 = <<60*2=120>>120 cans of soda are needed.
So, this means 120/10 = <<120/10=12>>12 boxes of soda must be purchased.
Thus, it will amount to $2 x 12 = $<<24=24>>24.
Therefore, each family member will pay $24/6 = $<<24/6=4>>4.
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