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04-10-2018
Mathematics

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21) the admission fee at a movie theater is $5 for children and $9 for adults. If 3200 people go to the movies and $24000 is collected, how many children went to the movies?

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rocket3989 rocket3989

04-10-2018

children at the movies is x, adults is y

[tex]5x + 9y = 24000 \\ x + y = 3200 \\ 5(3200 - y) + 9y = 24000 \\ 16000 + 4y = 24000 \\y = 2000 \\ x + 2000 = 3200 \\ [/tex]
x = 1200

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