Solve Problems Using Systems in Three Variables
-The Little Town Arts Center charges $23 for adults, $18 for senior citizens, and $8 for children under 12 for their live performances on Sunday afternoon. This past Sunday, the paid revenue was $13,411 for 842 tickets sold. There were 44 more children than adults. How many children attended?
A) 305 children
B) 261 children
C) 276 children
D) 295 children

Question

Quizplus · Accepted Answer

The system of equations based on the given information is:1) $23A + 18S + 8C = 13411$ (total revenue),2) $A + S + C = 842$ (total tickets),3) $C = A + 44$ (44 more children than adults).Solving this system, we find that there were 305 children.