document.write( "Question 1075456: On a school trip the ratio of the number of teachers to students is 1:15. The ratio of male students to female students is 7:5. Work out what percentage of people on the trip are female. Give your answer correct to the nearest whole number.\r
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document.write( "I've tried multiplying by 5 but I just don't get ratios.\r
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document.write( "Please can anyone help me with this question? \n" );
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Algebra.Com's Answer #690150 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! On a school trip the ratio of the number of teachers to students is 1:15. \n" ); document.write( " The ratio of male students to female students is 7:5. \n" ); document.write( "Work out what percentage of people on the trip are female. \n" ); document.write( " Give your answer correct to the nearest whole number. \n" ); document.write( " I've tried multiplying by 5 but I just don't get ratios. \n" ); document.write( ": \n" ); document.write( "you have to know the male to female teachers ratio also \n" ); document.write( "Let's assume the male to female teachers was 3:5, that means we have a minimum of 8 teachers \n" ); document.write( "The teacher student ratio is given as 1:15, therefore we have 15 * 8 = 120 students \n" ); document.write( "The total people, students and teachers = 128 \n" ); document.write( "We know we have 5 female teachers. Find how many female students \n" ); document.write( "let x = the multiplier, then \n" ); document.write( "7x = number of male students \n" ); document.write( "5x = number of female students \n" ); document.write( "7x + 5x = 120 \n" ); document.write( "12x = 120 \n" ); document.write( "x = 120/12 \n" ); document.write( "x = 10 \n" ); document.write( "therefore the number of female students 10*5 = 50 female students \n" ); document.write( "Total female teachers and female students 5 + 50 = 55 \n" ); document.write( "Find the percentage females (55) to total in the group (128) \n" ); document.write( "55/128 * 100 = 43% females in the group \n" ); document.write( " |