SOLUTION: ticket prices Mario's Marionettes donated free tickets for their show to the local Boys and Girls club. They claimed that the ticket value was $176.75. A child's ticket cost $5.50

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Question 200113: ticket prices Mario's Marionettes donated free tickets for their show to the local Boys and Girls club. They claimed that the ticket value was $176.75. A child's ticket cost $5.50 and an adult ticket cost $8.75. if there were three times as many children's tickets as adult tickets, how many adults and children got to attend the show for free?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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the ticket value was $176.75. A child's ticket cost $5.50 and an adult ticket
cost $8.75. if there were three times as many children's tickets as adult
tickets, how many adults and children got to attend the show for free?
:
let a = no. of adult tickets
let c = no. of child's tickets
:
Write an equation for each statement:
;
"the ticket value was $176.75."
8.75a + 5.50c = 176.75
:
there were three times as many children's tickets as adult tickets,"
c = 3a
:
Replace c with 3a in the value equation
8.75a + 5.50(3a) = 176.75
8.75a + 16.50a = 176.75
25.25a = 176.75
a = 176.75%2F25.25
a = 7 adults
and
3*7 = 21 children
:
how many adults and children got to attend the show for free?
;
7 Adults and 21 children
;
:
Check solution in the value equation
8.75(7) + 5.50(21) =
61.25 + 115.50 = 176.75; confirms our solutions