SOLUTION: The local movie theater sold 100 tickets for $390. If children's tickets cost $3 and adult tickets cost $6, how many of each were sold?

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Question 123832This question is from textbook Mathmatics for Business
: The local movie theater sold 100 tickets for $390. If children's tickets cost $3 and adult tickets cost $6, how many of each were sold? This question is from textbook Mathmatics for Business

Answer by awang1996(50) About Me  (Show Source):
You can put this solution on YOUR website!
The local movie theater sold 100 tickets for $390. If children's tickets cost $3 and adult tickets cost $6, how many of each were sold?


6a+3(100-a)=390
6a+300-3a=390
3a+300=390
subtract 300 from both sides
3a=90
divide 3 from both sides
a=30
c=70


PROOF:70*3=$210
30*6=$180
$210+$180=$390