document.write( "Question 1028643: The number of teachers at a local high school is 360 less than one-third of the number of students. If the total number of students and teachers at the school is 1200, how many of them are (a) teachers and (b) students? \n" ); document.write( "
Algebra.Com's Answer #643731 by fractalier(6550)![]() ![]() You can put this solution on YOUR website! Call the number of students and teachers, s and t. Then we write \n" ); document.write( "t = (1/3)s - 360 and \n" ); document.write( "t + s = 1200 (or t = 1200 - s) \n" ); document.write( "Now substitute and get \n" ); document.write( "1200 - s = (1/3)s - 360 \n" ); document.write( "Add 360 and add s to both sides... \n" ); document.write( "1560 = (4/3)s \n" ); document.write( "Now multiply by 3/4 and get \n" ); document.write( "s = (3/4)(1560) = 1170 students \n" ); document.write( "which means there are \n" ); document.write( "t = 30 teachers \n" ); document.write( "(Not a healthy ratio...) \n" ); document.write( " |