document.write( "Question 203346: 41,000 people attended a ballgame at a stadium that offers two kinds of seats: general admission and reserved. The day's receipts were $340,000. How many people paid $14.00 for reserved seats, and how many paid $5.00 for general admission? \n" ); document.write( "
Algebra.Com's Answer #153420 by Earlsdon(6294)![]() ![]() ![]() You can put this solution on YOUR website! Let x = the number of reserved seats sold and y = the number of general seats sold. \n" ); document.write( "1) x+y = 41,000 \"41,000 people attended...\" \n" ); document.write( "2) $14(x)+$5(y) = $340,000 \"The day's receipts were $340,000.\" \n" ); document.write( "Rewrite equation 1) as x = y-41,000 and substitute into equation 2) \n" ); document.write( "2a) 14(41,000-y)+5y = 340,000 Simplify and solve for y. \n" ); document.write( "2a) 574,000-14y+5y = 340,000 Combine the y-terms. \n" ); document.write( "2a) 574,000-9y = 340,000 Subtract 574,000 from both sides. \n" ); document.write( "-9y = -234,000 Divide both sides by -9. \n" ); document.write( "y = 26,000 and... \n" ); document.write( "x = 41,000-26,000 \n" ); document.write( "x = 15,000 \n" ); document.write( "15,000 paid $14.00 for reserved seats. \n" ); document.write( "26,000 paid $5.00 for general seats. \n" ); document.write( " |