document.write( "Question 619: In a college there are 5 more seniors than juniors. In an honor party, 8 percent of the juniors and 5 percent of the seniors were invited. The total number of students invired to this party was 10. How many students were in the college. \n" ); document.write( "
Algebra.Com's Answer #203 by AnlytcPhil(1806)![]() ![]() You can put this solution on YOUR website! In a college there are 5 more seniors than juniors. In an honor party, 8 \n" ); document.write( "percent of the juniors and 5 percent of the seniors were invited. The total \n" ); document.write( "number of students invited to this party was 10. How many students were in \n" ); document.write( "the college. \n" ); document.write( "` \n" ); document.write( ">>...In a college there are 5 more seniors than juniors...<< \n" ); document.write( "` \n" ); document.write( "Translation: \n" ); document.write( "` \n" ); document.write( "S = J + 5 \n" ); document.write( "` \n" ); document.write( ">>...In an honor party, 8 percent of the juniors and 5 percent of the \n" ); document.write( "seniors were invited...<< \n" ); document.write( "` \n" ); document.write( "Translation: \n" ); document.write( ".08J + .05S were invited \n" ); document.write( "` \n" ); document.write( ">>...The total number of students invited to this party was 10...<< \n" ); document.write( "` \n" ); document.write( "Therefore .08J + .05S = 10 \n" ); document.write( "` \n" ); document.write( "So we have this system of two equations in two unknowns. \n" ); document.write( "` \n" ); document.write( "S = J + 5 \n" ); document.write( ".08J + .05S = 10 \n" ); document.write( "` \n" ); document.write( "Can you solve this system by substitution? If not, ask again. \n" ); document.write( "` \n" ); document.write( "Answer: 80 seniors and 75 juniors. \n" ); document.write( "` \n" ); document.write( "Edwin J \n" ); document.write( " \n" ); document.write( " |