Answered

Welcome to Westonci.ca, the ultimate question and answer platform. Get expert answers to your questions quickly and accurately. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

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
Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. We appreciate your time. Please come back anytime for the latest information and answers to your questions. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.