document.write( "Question 1015783: A school has 1025 students. A totl of 400 students can not swim. This consists of 1/5 of the boys and 4/7 f the girls. If x boys can swim, write an equation for x and solve it. How many boys are the ere in the school? \n" ); document.write( "
Algebra.Com's Answer #632174 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! A school has 1025 students. A total of 400 students can not swim. \n" ); document.write( " This consists of 1/5 of the boys and 4/7 of the girls. \n" ); document.write( " If x boys can swim, write an equation for x and solve it. \n" ); document.write( " How many boys are the there in the school? \n" ); document.write( ": \n" ); document.write( "I will be easier if we find out how many boys & girls are in the school \n" ); document.write( " let b = no. of boys in the school \n" ); document.write( " let g = no. of girls \n" ); document.write( ": \n" ); document.write( "b + g = 1025 \n" ); document.write( "the number of girls & boys who can't swim are given as 400 \n" ); document.write( " \n" ); document.write( "Get rid of the denominators, multiply by 35 \n" ); document.write( "7b + 20g = 14000 \n" ); document.write( "multiply the 1st equation by 7, subtract from the above equation \n" ); document.write( "7b + 20g = 14000 \n" ); document.write( "7b + 7g = 7125 \n" ); document.write( "------------------subtraction eliminates b, find g \n" ); document.write( "0 + 13g = 6825 \n" ); document.write( "g = 6825/13 \n" ); document.write( "g = 525 girls in the school \n" ); document.write( "then \n" ); document.write( "1025 - 525 = 500 boys in the school \n" ); document.write( "\"If x boys can swim, write an equation for x and solve it.\" \n" ); document.write( "x = 500( \n" ); document.write( "x = 500( \n" ); document.write( "x = 400 boys can swim \n" ); document.write( " |