Solve the problem.
-The Little Town Arts Center charges $24 for adults, $12 for senior citizens, and $6 for children under 12 for their live performances on Sunday afternoon. This past Sunday, the paid revenue was $9162 for 683 tickets
Sold. There were 43 more children than adults. How many children attended?

Question

Quizplus · Accepted Answer

The total number of tickets sold is 683, and the revenue is $9162. Let's denote the number of adults as A, senior citizens as S, and children as C. We have three equations based on the given information:1. $24A + $12S + $6C = $9162 (total revenue)2. A + S + C = 683 (total tickets)3. C = A + 43 (43 more children than adults)We can solve these equations systematically. From equation 3, we can express A in terms of C: A = C - 43. Substituting A and C in terms of C into equation 2 gives us:(C - 43) + S + C = 6832C + S - 43 = 683S = 726 - 2CNow, substituting A = C - 43 and S = 726 - 2C into equation 1 gives us a single equation in terms of C:$24(C - 43) + $12(726 - 2C) + $6C = $9162Simplifying this equation:$24C - $1032 + $8712 - $24C + $6C = $9162$6C = $1482C = $1482 / $6C = 247Therefore, 247 children attended.

Solve the Problem. -The Little Town Arts Center Charges $24 for Adults, $12