SOLUTION: The community theater is selling tickets to a musical. The cost of a ticket is $5.50 for an adult and $3.50 for a child. The matinee performance sells 100 tickets. Of the tickets,

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Question 1147920: The community theater is selling tickets to a musical. The cost of a ticket is $5.50 for an adult and $3.50 for a child. The matinee performance sells 100 tickets. Of the tickets, c are for child tickets. There are T collars collected for all the tickets.
a. Write an equation that shows T in terms of c for the ticket sales.
b. If there are 35 child tickets sold, what are the total ticket sales for the matinee performance? Show your work.
Answer by josgarithmetic(39620) About Me  (Show Source):
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The community theater is selling tickets to a musical MATINEE PERFORMANCE. The cost of a ticket is $5.50 for an adult and $3.50 for a child. The matinee performance sells 100 tickets. Of the tickets, c are for child tickets. There are T collars DOLLARS collected for all the tickets.
a. Write an equation that shows T in terms of c for the ticket sales.
b. If there are 35 child tickets sold, what are the total ticket sales for the matinee performance?
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adults, 100-c
children, c
5.5%28100-c%29%2B3.5c=T
T=550-5.5c%2B3.5c
highlight%28T=550-2c%29