The cost of one adult ticket is $8 and cost of one child ticket is $8.
Step-by-step explanation:
Let,
Cost of one adult ticket = x
Cost of one child ticket = y
According to given statement;
3x+y=32 Eqn 1
7x+2y=72 Eqn 2
Multiplying Eqn 1 by 2
[tex]2(3x+y=32)\\6x+2y=64\ \ \ Eqn\ 3[/tex]
Subtracting Eqn 3 from Eqn 2
[tex](7x+2y)-(6x+2y)=72-64\\7x+2y-6x-2y=8\\x=8[/tex]
Putting x=8 in Eqn 1
[tex]3(8)+y=32\\24+y=32\\y=32-24\\y=8[/tex]
The cost of one adult ticket is $8 and cost of one child ticket is $8.
Keywords: linear equation, elimination method
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