document.write( "Question 159274This question is from textbook elementary & intermediate algebra
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\n" ); document.write( "\n" ); document.write( "There were 1000 more students at the soccer game than nonstudents. Student tickets were $8.50 and nonstudent tickets were $13.25. If the total revenue for the game was $75,925, then how many tickets of each type were sold?
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There were 1000 more students at the soccer game than nonstudents. Student tickets were $8.50 and nonstudent tickets were $13.25. If the total revenue for the game was $75,925, then how many tickets of each type were sold?
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\n" ); document.write( "Let x = non-student tickets
\n" ); document.write( "then from \"There were 1000 more students at the soccer game than nonstudents\"
\n" ); document.write( "x+1000 = student tickets
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\n" ); document.write( "And, because total revenue was $75,925:
\n" ); document.write( "13.25x + 8.50(x+1000) = 75925
\n" ); document.write( "13.25x + 8.50x + 8500 = 75925
\n" ); document.write( "21.75x + 8500 = 75925
\n" ); document.write( "21.75x = 67425
\n" ); document.write( "x = 3100 (non-student tickets)
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\n" ); document.write( "student tickets:
\n" ); document.write( "x+1000 = 3100+1000 = 4100 (student tickets)
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