SOLUTION: Cindy is selling tickets to the circus. On her first day, she sold 4 adult tickets and 8 children's tickets for a total of $108. On the second day, she sold 5 adult tickets an
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Question 1183276: Cindy is selling tickets to the circus. On her first day, she sold 4 adult tickets and 8 children's tickets for a total of $108. On the second day, she sold 5 adult tickets and 6 children's tickets for a total of $105. What is the prices of an adult ticket and a Childs ticket?
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!
a = cost of adult ticket
c = cost of child ticket
4a+8c=108
5a+6c=105
Divide the first equation by the common factor of 4
a+2c=27
multiply by 5 to make the number of adult tickets the same as in the other equation
5a+10c=135
Compare the two equations
5a+10c=135
5a+6c=105
4c=30
c=7.50
The cost of each child ticket is $7.50
Substitute in either original equation to solve for the cost of an adult ticket
4a+8(7.50)=108
4a+60=108
4a=48
a=12
The cost of each adult ticket is $12
ANSWERS: adult ticket $12; child ticket $7.50
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