During one performance of a local arts council's presentation of Fiddler on the Roof,the box office sold 225 tickets and collected $1638.If adult tickets sold for $9 and children's tickets sold for $6,how many of each type of ticket were sold?
A)adult tickets sold = 96;children's tickets sold = 129
B)adult tickets sold = 115;children's tickets sold = 148
C)adult tickets sold = 129;children's tickets sold = 96
D)adult tickets sold = 115;children's tickets sold = 100
E)adult tickets sold = 148;children's tickets sold = 115

Question

During one performance of a local arts council's presentation of Fiddler on the Roof,the box office sold 225 tickets and collected $1638.If adult tickets sold for $9 and children's tickets sold for $6,how many of each type of ticket were sold? ​
A)adult tickets sold = 96;children's tickets sold = 129
B)adult tickets sold = 115;children's tickets sold = 148
C)adult tickets sold = 129;children's tickets sold = 96
D)adult tickets sold = 115;children's tickets sold = 100
E)adult tickets sold = 148;children's tickets sold = 115

Quizplus · Accepted Answer

To solve this, set up equations based on the given information: Let x be the number of adult tickets and y be the number of children's tickets. Thus, x + y = 225 (total tickets) and 9x + 6y = 1638 (total revenue). Solving these equations simultaneously gives x = 96 (adult tickets) and y = 129 (children's tickets).

During One Performance of a Local Arts Council's Presentation of Fiddler