document.write( "Question 4333: I need help with a word problem please.\r
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document.write( "There are 980 students who attend high school. At a recent volleyball game at the school, 35% of the male students and 40% of the female students were in attendance. The total number of students attending the ball game was 369. How many males and how many females attend this high school? \n" );
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Algebra.Com's Answer #1965 by Earlsdon(6294)![]() ![]() ![]() You can put this solution on YOUR website! Start by letting M = # of male students and F = # of female students.\r \n" ); document.write( "\n" ); document.write( "Change the percents to equivalent decimals: 35% = 0.35 and 40% = 0.4\r \n" ); document.write( "\n" ); document.write( "Now you can write ths system of equations:\r \n" ); document.write( "\n" ); document.write( "0.35M + 0.4F = 369 The total number of students attending the ball game. \n" ); document.write( "M + F = 980 The total number of students attending school. Rewrite this as: \n" ); document.write( "M = 980 - F and substitute into the first equation.\r \n" ); document.write( "\n" ); document.write( "0.35(980 - F) + 0.4F = 369 Solve for F \n" ); document.write( "343 - 0.35F + 0.4F = 369 Combine like-terms and subtract 343 from both sides. \n" ); document.write( "0.05F = 26 Divide both sides by 0.05 \n" ); document.write( "F = 520 The number of female students.\r \n" ); document.write( "\n" ); document.write( "M = 980 - F \n" ); document.write( "M = 980 - 520 = 460 The number of male students. \n" ); document.write( " \n" ); document.write( " |