SOLUTION: The box office at a movie theater sold 375 tickets for the evening show and collected $3,864. How many $14 adult and how many $5 child tickets were sold
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Question 1192668: The box office at a movie theater sold 375 tickets for the evening show and collected $3,864. How many $14 adult and how many $5 child tickets were sold Answer by ikleyn(52781) (Show Source):
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The box office at a movie theater sold 375 tickets for the evening show and collected $3,864.
How many $14 adult and how many $5 child tickets were sold
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With the number of adults "a" and the number of children (375-a), you have this total money equation
14a + 5(375-a) = 3864 total money
From the equation
a = = 221.
ANSWER. 221 adult tickets and the rest 375-221 = 154 child tickets.
CHECK. 221*14 + 154*5 = 3864, total revenue. ! correct !