Answer:
- adult: $6.70
- children's: $3.60
Step-by-step explanation:
Let a and c represent the costs of 1 adult and 1 children's ticket, respectively. Then the two purchases can be written as ...
5a +c = 37.10
3a +5c = 38.10
Solving this system of equations will give the ticket prices.
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Subtracting the second equation from 5 times the first gives ...
5(5a +c) -(3a +5c) = 5(37.10) -(38.10)
22a = 147.40
a = 6.70
The first equation is useful for finding the value of c:
5(6.70) +c = 37.10
c = 3.60 . . . . subtract 33.50
The cost of one adult ticket is $6.70; the cost of one children's ticket is $3.60.
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The two equations can also be solve quickly using a graphing program.
