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Braden about three adult tickets and one child ticket at the movie theater and paid $32. Karen bought seven adult tickets and two child tickets and paid $72. Find the cost for one child ticket

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absor201

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

Learn more about linear equations at:

  • brainly.com/question/10414011
  • brainly.com/question/10483199

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