SOLUTION: A movie theater charges $8.00 for adults, $4.50 for children, and $6.00 for senior citizens. On one day 405 tickets were sold for a total $2320.00. If there are twice as many chi
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Question 36939: A movie theater charges $8.00 for adults, $4.50 for children, and $6.00 for senior citizens. On one day 405 tickets were sold for a total $2320.00. If there are twice as many children tickets as adult tickets, then how many of each group were sold?
Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website!
X+2X+S=405 OR 3X+S=405 OR S=405-3X &
800X+450*2X+600S=232000 SUBSTITUTING 405-3X FOR S WE GET
800X+450*2X+600(405-3X)=232000 OR 800X+900X+243000-1800X=232000 OR
1700X-1800X=-11000 OR -100X=-11000 OR X=110 THEN 2X=220 & S=405-3*110 OR
S=405-330 OR S=75 OR 800*110+450*220+600*75=232000 OR
88000+99000+45000=232000 OR 232000=232000
THEREFORE THERE WERE 110 ADULT TICKETS, 220 CHILDREN TICKETS & 75 SENIOR TICKETS
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