Given total budget of the party = $45,000 reception hall charges for clean up =$60 extra fee per person =$30 Find out the number of people are invited. To proof let us assume that the number of people are invited in the reception are be x. Given in the question the $60 be the clean up charge and $30 be fee per person. than equation become ⇒ 60 +30x = 4500 30x = 4500-60 30x = 4440 x = 148 The number of people are invited in the reception are 148 Hence proved