document.write( "Question 185471: a junior college awarded 26 varsity letters in crew, 15 in swimming, and 16 in soccer . If awards went to 46 students and only 2 lettered in all sports, how many students lettered in two of the three sports? \n" ); document.write( "
Algebra.Com's Answer #139349 by solver91311(24713)![]() ![]() You can put this solution on YOUR website! \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The total number of letters awarded was 26 + 15 + 16 = 57.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2 students out of the total 46 each got 3 letters, accounting for 2 times 3 = 6 of the letters awarded, leaving 44 students to account for the remaining 57 - 6 = 51 letters.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The difference is 51 - 44 = 7 which is the number of students who must have earned 2 letters each.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "John \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |