document.write( "Question 52442: At a company fish fry, ½ in attendance are employees. Employees’ spouses are 1/3 of the attendance. What is the percentage of the people in attendance who are not employees or employee spouses? \n" ); document.write( "
Algebra.Com's Answer #34974 by AnlytcPhil(1806)![]() ![]() You can put this solution on YOUR website! At a company fish fry, 1/2 in attendance are employees.\r\n" ); document.write( "Employees’ spouses are 1/3 of the attendance. What is \r\n" ); document.write( "the percentage of the people in attendance who are not \r\n" ); document.write( "employees or employee's spouses? \r\n" ); document.write( "\r\n" ); document.write( "One half of X are employees.\r\n" ); document.write( "One third of X are employee's spouses.\r\n" ); document.write( "\r\n" ); document.write( "We add one half PLUS one third:\r\n" ); document.write( "\r\n" ); document.write( "1/2 + 1/3 = 3/6 + 2/6 = 5/6 \r\n" ); document.write( "\r\n" ); document.write( "Then we subtract that fraction from one whole, or 1,\r\n" ); document.write( "to see what fraction is left. That is, we say\r\n" ); document.write( "\r\n" ); document.write( "1 minus 5/6\r\n" ); document.write( "\r\n" ); document.write( "which is\r\n" ); document.write( "\r\n" ); document.write( "1 - 5/6\r\n" ); document.write( "\r\n" ); document.write( "Now write 1 as 6/6\r\n" ); document.write( "\r\n" ); document.write( "6/6 - 5/6\r\n" ); document.write( "\r\n" ); document.write( "We get 1/6\r\n" ); document.write( "\r\n" ); document.write( "So 1/6 is left. Now we need to make that into\r\n" ); document.write( "a percent by multiplying it by 100 and tacking on a \"%\"\r\n" ); document.write( "\r\n" ); document.write( "1/6 × 100\r\n" ); document.write( "\r\n" ); document.write( "1/6 × 100/1\r\n" ); document.write( "\r\n" ); document.write( "100/6\r\n" ); document.write( "\r\n" ); document.write( "50/3\r\n" ); document.write( "\r\n" ); document.write( "16 2/3 %\r\n" ); document.write( "\r\n" ); document.write( "So 16 2/3 % of the people in \r\n" ); document.write( "attendance are neither employees\r\n" ); document.write( "nor employee's spouses.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Now let's check:\r\n" ); document.write( "\r\n" ); document.write( "1/2 are employees. That's 50%\r\n" ); document.write( "1/3 are wmployee's spouses. That's 33 1/3%\r\n" ); document.write( "15 2/3 % are neither employees nor employee's spouses.\r\n" ); document.write( "\r\n" ); document.write( "Add them up\r\n" ); document.write( "\r\n" ); document.write( "50 %\r\n" ); document.write( "33 1/3 %\r\n" ); document.write( "16 2/3 %\r\n" ); document.write( "--------\r\n" ); document.write( "99 3/3 %\r\n" ); document.write( "\r\n" ); document.write( "And 99 3/3% = 100%\r\n" ); document.write( "\r\n" ); document.write( "Edwin\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |