SOLUTION: a group of 3 adults and 5 children pay a total of 52 dollars for movie tickets a group of 2 adults and 4 children pay total $38 for taking what is the cost of one adult ticket? wha

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: a group of 3 adults and 5 children pay a total of 52 dollars for movie tickets a group of 2 adults and 4 children pay total $38 for taking what is the cost of one adult ticket? wha      Log On


   

Question 949812: a group of 3 adults and 5 children pay a total of 52 dollars for movie tickets a group of 2 adults and 4 children pay total $38 for taking what is the cost of one adult ticket? what is the cost of one child ticket?
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
A=cost of Adult's ticket; C=cost of Child's ticket
3A+5C=$52 Subtract 5C from each side
3A=$52-5C divide each side by 3
A=($52-5C)/3
2A+4C=$38 Substitute for A
2($52-5C)/3 +4C=$38
($104-10C)/3 + 4C=$38 Subtract 4C from each side,
($104-10C)/3=$38-4C Multiply each side by 3.
$104-10C=$114-12C Add 12C to each side.
$104+2C=$114 Subtract $104 from each side.
2C=$10 Divide each side by 2.
C=$5 ANSWER 1: A child's ticket costs $5.
A=($52-5C)/3=($52-5($5))/3=($52-$25)/3=$27/3=$9 ANSWER 2: Adult tickets cost $9.
CHECK:
2A+4C=$38
2($9)+4($5)=$38
$18+$20=$38
$38=$38