SOLUTION: Tickets of a program at college cost ​$3 for general admission or ​$2 with a student ID. If 182 people paid to see a performance and ​$438 was​ collected, h

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Tickets of a program at college cost ​$3 for general admission or ​$2 with a student ID. If 182 people paid to see a performance and ​$438 was​ collected, h      Log On


   

Question 1021769: Tickets of a program at college cost ​$3 for general admission or ​$2 with a student ID. If 182 people paid to see a performance and ​$438 was​ collected, how many of each type of ticket were​ sold?
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
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G=general admission; S=student
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G+S=182
S=182-G
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$3G+$2S=$438
$3G+$2(182-G)=$438
$3G+$364-$2G=$438
$1G=$74
G=74
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S=182-G=182-74=108
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ANSWER: There were 108 student and 74 general admission tickets sold.
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CHECK:
$3G+$2S=$438
$3(74)+$2(108)=$438
$222+$216=$438
$438=$438
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