SOLUTION: If Jason sold 457 tickets for a total cost of $1161 and student tickets cost $2 and adult tickets cost $3 how many adult tickets and how many student tickets were sold.

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: If Jason sold 457 tickets for a total cost of $1161 and student tickets cost $2 and adult tickets cost $3 how many adult tickets and how many student tickets were sold.      Log On


   

Question 973464: If Jason sold 457 tickets for a total cost of $1161 and student tickets cost $2 and adult tickets cost $3 how many adult tickets and how many student tickets were sold.
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
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A=adult tickets; S=student tickets
A+S=457
S=457-A Use this to substitute for S.
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$2S+$3A=$1161 Substitute for S.
$2(457-A)+$3A=$1161
$914-$2A+$3A=$1161
$1A=$247
A=247 ANSWER 1: 247 Adult tickets were sold.
S=457-A=457-247=210 210 Student tickets were sold.
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CHECK:
$2S+$3A=$1161
$2(210)+$3(247)=$1161
$420+$741=$1161
$1161=$1161