document.write( "Question 1176916: Hi
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document.write( "The ratio of teachers to boys to girls is 3:6:4 respectively. The ratio of girls to male teachers is 3:1 respectively. If there were 65 female teachers, how many boys are in the school.
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document.write( "Thanks \n" );
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Algebra.Com's Answer #805089 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "The ratio of teachers to boys to girls is 3:6:4 respectively. \n" ); document.write( "let x = the multiplier \n" ); document.write( "then \n" ); document.write( "3x = no. of teachers \n" ); document.write( "6x = no. of boys \n" ); document.write( "4x = no. of girls \n" ); document.write( "let m = no. of male teachers \n" ); document.write( " The ratio of girls to male teachers is 3:1 respectively. \n" ); document.write( " \n" ); document.write( "Cross multiply \n" ); document.write( "4x = 3m \n" ); document.write( "m = \n" ); document.write( "If there were 65 female teachers, how many boys are in the school. \n" ); document.write( "3x = (m+65) \n" ); document.write( "Replace m with \n" ); document.write( "3x = \n" ); document.write( "get rid of the fraction, multiply by 3 \n" ); document.write( "9x = 4x + 195 \n" ); document.write( "9x - 4x = 195 \n" ); document.write( "5x = 195 \n" ); document.write( " x = 195/5 \n" ); document.write( " x = 39 is the multiplier \n" ); document.write( ": \n" ); document.write( "Find the no. of boys \n" ); document.write( "6*39 = 234 boys \n" ); document.write( "; \n" ); document.write( ": \n" ); document.write( "Confirm this, find the no. of teachers, girls, and male teachers \n" ); document.write( "3(39)= 117 teachers \n" ); document.write( "4(39)= 156 girls \n" ); document.write( " \n" ); document.write( ": \n" ); document.write( "52 + 65 = 117 total teachers \n" ); document.write( ": \n" ); document.write( "Find the ratio of girls to male teachers \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |