Answered

At Westonci.ca, we make it easy for you to get the answers you need from a community of knowledgeable individuals. Join our platform to connect with experts ready to provide accurate answers to your questions in various fields. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

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
We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.