SOLUTION: The drama club sold 288 tickets to its spring play and collected $1,161. Adult tickets cost $5.00 each and children’s tickets cost $3.50. How many of each type of ticket did the

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The drama club sold 288 tickets to its spring play and collected $1,161. Adult tickets cost $5.00 each and children’s tickets cost $3.50. How many of each type of ticket did the       Log On


   

Question 952353: The drama club sold 288 tickets to its spring play and collected $1,161. Adult tickets cost $5.00 each and children’s tickets cost $3.50. How many of each type of ticket did the drama club sell?
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
A=Adult tickets; C=children's tickets
A+C=288
A=288-C
$5.00A+$3.50C=$1161 Substitute for A.
$5.00(288-C)+$3.50C=$1161
$1440-$5.00C+$3.50C=$1161
$1440-$1.50C=$1161 Subtract 41161 from each side.
$279-$1.50C=0 Add $1.50C to each side
$279=$1.50C Divide each side by $1.50
186=C ANSWER 1: They sold 186 children's tickets.
A=288-C=288-186=102 ANSWER 2: They sold 102 Adult tickets.
CHECK:
$5.00A+$3.50 C=$1161
$5.00(102)+$3.50(186)=$1161
$510+$651=$1161
$1161=$1161