Problema Solution

Adult tickets to a movie are sold at $10 each, student tickets at $8 each and children't tickets at $5 each. The cinema sold twice as many adult tickets as children's tickets, and the total number of tickets sold to students and children was 80. If the total money collected was $1,150, how many tickets of each type were sold?

Answer provided by our tutors

A = 2C

S + C = 80

S = 80 - C

 

5C + 10(2C) + 8(80-C)=1150

 

Solve for C

5C + 20C + 640 - 8C = 1150

17C + 640 = 1150

C = 30 children's tickets

60 Adult tickets

50 student's tickets