document.write( "Question 1072529: on a schoop trip the ratio of teachers to the number of students is 1:13
\n" ); document.write( "The ratio of the number of male students to the number of female students is 3:5
\n" ); document.write( "work out what percentage of all the people on the trip are female students
\n" ); document.write( "give your answer correct to the nearest whole number
\n" ); document.write( "

Algebra.Com's Answer #687429 by ankor@dixie-net.com(22740)\"\" \"About 
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on a school trip the ratio of teachers to the number of students is 1:13
\n" ); document.write( "The ratio of the number of male students to the number of female students is 3:5
\n" ); document.write( "work out what percentage of all the people on the trip are female students
\n" ); document.write( "give your answer correct to the nearest whole number:
\n" ); document.write( ":
\n" ); document.write( "\"the ratio of teachers to the number of students is 1:13\"
\n" ); document.write( "Let x = no. of teachers
\n" ); document.write( "then
\n" ); document.write( "13x = no. students
\n" ); document.write( "therefore
\n" ); document.write( "14x = total no. of people
\n" ); document.write( ":
\n" ); document.write( "let y be the multiplier, then
\n" ); document.write( "3y = no. of male students
\n" ); document.write( "and
\n" ); document.write( "5y = no. of female students
\n" ); document.write( ":
\n" ); document.write( "\"The ratio of the number of male students to the number of female students is 3:5\"
\n" ); document.write( "boy + girls = total students
\n" ); document.write( "3y + 5y = 13x
\n" ); document.write( "8y = 13x
\n" ); document.write( "y = \"13%2F8\"x
\n" ); document.write( "\"work out what percentage of all the people on the trip are female students\"\
\n" ); document.write( "\"%285y%29%2F%2814x%29\" = girls to total people
\n" ); document.write( "replace y with \"13%2F8\"x
\n" ); document.write( "\"5%28%2813%2F8%29x%29%2F%2814x%29\" = \"%28%2865%2F8%29x%29%2F%2814x%29\"
\n" ); document.write( "Cancel x
\n" ); document.write( "\"%28%2865%2F8%29%29%2F%2814%29\" = \"65%2F8\" * \"1%2F14\" = \"65%2F112\" = .58 or 58% of the total people are girl students
\n" ); document.write( "
\n" );