Can you help me solve a word problem?

Question

Here it is: Two types of tickets are avariable for a charity ball event: $18 for a reserved seat, and $9 for general admission. The number of reserved seats available is 85 less than the number of tickets available for general admission. If the sale of tickets that day was $3,600, how many seats were alloted for general admission?

Answer 1

# of reserved seats = R;  # of general admission seats = G

 

                                                     G - R = 85

 

                                          $18R + $9G =$3600

 

Multiply 1st equation by 18:  18G - 18R = 1530

 

Rearrange 2nd equation:   $9G + $18R =$3600

 

Combine the equations:               27 G  =   5130

 

                                                        G  =  190

 

                                                        R  =  105