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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

AFind the price of an adult ticket and the price of a children's ticket.

Verified Answer :

\(A=Adult\), \(C=Child\)

\(Garcia:2A+3C=44.5\)
\(Smith:3A+6C=78\)

\(A= \frac{44.5-3C}{2}\)

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

\(2A+3(7.66)=44.5\)
\(2A=21.52\)
\(A=10.76\)

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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