document.write( "Question 978287: the ratio of boys to girls in a school is 7:6. If the number of boys and girls in a school increases by 10 percent and 15 percent respectively in a year, the number of boys exceeds the number of girls by 120. How many students are there in the school? \n" ); document.write( "
Algebra.Com's Answer #599764 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! the ratio of boys to girls in a school is 7:6. \n" ); document.write( "let x = the multiplier \n" ); document.write( "then \n" ); document.write( "7x = original no. of boys \n" ); document.write( "6x = original no. of girls \n" ); document.write( ": \n" ); document.write( "\"If the number of boys and girls in a school increases by 10 percent and 15 percent respectively in a year, the number of boys exceeds the number of girls by 120. \n" ); document.write( "1.1(7x) - 1.15(6x) = 120 \n" ); document.write( "7.7x - 6.9x = 120 \n" ); document.write( ".8x = 120 \n" ); document.write( "x = 150 is the multiplier \n" ); document.write( ": \n" ); document.write( "\"How many students are there in the school?\" \n" ); document.write( "150(7) + 150(6) = 1950 students \n" ); document.write( " |