Question

Two types of tickets are available 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 for the day was $3,600, how many seats were allotted 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

Explanation: