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Algebra: WORD PROBLRM
SOLVING SYSTEMS OF LINEAR EQUATIONS

At the theater, the Garcia family bought 2 adult tickets and 3 children's tickets for $44.50. The Smith family bought 3 adult tickets and 6 children's tickets for $78.
YOU MUST USED SYSTEM OF EQUATIONS TO SOLVE PLEASE SHOW WORK
A. Find the price of an adult ticket and the price of a children's ticket.

Sagot :

[tex]A=Adult[/tex], [tex]C=Child[/tex]

[tex]Garcia:2A+3C=44.5[/tex]
[tex]Smith:3A+6C=78[/tex]

[tex]A= \frac{44.5-3C}{2} [/tex]

[tex]3( \frac{44.5-3C}{2})+6c=78 [/tex]
[tex]66.75-4.5c+6c=78[/tex]
[tex]1.5C=11.5[/tex]
[tex]C=7.66[/tex]

[tex]2A+3(7.66)=44.5[/tex]
[tex]2A=21.52[/tex]
[tex]A=10.76[/tex]

Children's ticket = $7.66
Adult's ticket = $10.76

Sorry it's not as clear as it could be, kinda in a rush
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