A group of 3 adults and 5 children pay a total of 52$ for movie tickets A group of 2 adults and 4 children pay a total of 38$ for tickets what is the cost of on
Mathematics
userpbj
Question
A group of 3 adults and 5 children pay a total of 52$ for movie tickets
A group of 2 adults and 4 children pay a total of 38$ for tickets what is the cost of one adult ticket and what is the cost for one child ticket
A group of 2 adults and 4 children pay a total of 38$ for tickets what is the cost of one adult ticket and what is the cost for one child ticket
1 Answer

1. User Answers sqdancefan
Answer:
 $9 adult
 $5 child
Stepbystep explanation:
Letting "a" and "c" represent the costs of adult tickets and child tickets, the problem statement gives us two relations:
3a +5c = 52
2a +4c = 38
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We can solve this system of equations using "elimination" as follows:
Dividing the first equation by 2 we get
a +2c = 19
Multiplying this by 3 and subtracting the first equation eliminates the "a" variable and tells us the price of a child ticket:
3(a +2c) (3a +4c) = 3(19) (52)
c = 5 . . . . . . collect terms
a +2·5 = 19 . . substitute for c in the 3rd equation above
a = 9 . . . . . . subtract 10
One adult ticket costs $9; one child ticket costs $5.