document.write( "Question 1002647: The ratio of girls to boys in a mixed school is 5:6 on a raining day1/6 of the girls and 1/4 of the boys were absent .if the total no of the pupils that day was 390 how many of the pupil were boys? \n" ); document.write( "
Algebra.Com's Answer #619541 by josmiceli(19441)\"\" \"About 
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Let \"+b+\" = the number of boys
\n" ); document.write( "Let \"+g+\" = the number of girls
\n" ); document.write( "---------------------------
\n" ); document.write( "(1) \"+g%2Fb+=+5%2F6+\"
\n" ); document.write( "(1) \"+g+=+%285%2F6%29%2Ab+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+%285%2F6%29%2Ag+%2B+%283%2F4%29%2Ab+=+390+\"
\n" ); document.write( "multiply both sides by \"+12+\"
\n" ); document.write( "(2) \"+10g+%2B+9b+=+4680+\"
\n" ); document.write( "------------------------
\n" ); document.write( "By substitution:
\n" ); document.write( "(2) \"+10%2A%285%2F6%29%2Ab+%2B+9b+=+4680+\"
\n" ); document.write( "Multiply both sides by \"+6+\"
\n" ); document.write( "(2) \"+50b+%2B+54b+=+28080+\"
\n" ); document.write( "(2) \"+104b+=+28080+\"
\n" ); document.write( "(2) \"+b+=+270+\"
\n" ); document.write( "270 of the students were boys
\n" ); document.write( "and
\n" ); document.write( "(1) \"+g+=+%285%2F6%29%2Ab+\"
\n" ); document.write( "(1) \"+g+=+%285%2F6%29%2A270+\"
\n" ); document.write( "(1) \"+g+=+225+\"
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+%285%2F6%29%2Ag+%2B+%283%2F4%29%2Ab+=+390+\"
\n" ); document.write( "(2) \"+%285%2F6%29%2A225+%2B+%283%2F4%29%2A270+=+390+\"
\n" ); document.write( "Multiply both sides by \"12\"
\n" ); document.write( "(2) \"+10%2A225+%2B+9%2A270+=+4680+\"
\n" ); document.write( "(2) \"+2250+%2B+2430+=+4680+\"
\n" ); document.write( "(2) \"+4680+=+4680+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );