The box office took in a total of $2905 in paid admissions for the high-school musical. Adult tickets cost $8 each, and student tickets cost $3 each. If 560 people attended the show, how many were students?

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01-12-2014
Mathematics

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The box office took in a total of $2905 in paid admissions for the high-school musical. Adult tickets cost $8 each, and student tickets cost $3 each. If 560 people attended the show, how many were students?

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Luanaidn Luanaidn · Answer 1 · 2014-12-01T17:49:07-05:00

Luanaidn Luanaidn

01-12-2014

[tex]x-number\ of\ students\ tickets\\560-x-number\ of\ adults\ tickets\\\\3x+8(560-x)=2905\\3x+4480-8x=2905\\3x-8x=2905-4480\\-5x=-1575\ \ \ \ |:-5\\x=315\\\\There\ were\ 315\ students\ tickets.[/tex]

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