document.write( "Question 1013358: THe grade 6 pupils of a school are divided equally into Team A and Team B. The ratio of the number of boys to the number of girls in Team A is 2:1 and in Team B it is 4:11. What is the ratio of the number of boys to the number of girls in grdae 6? \n" ); document.write( "
Algebra.Com's Answer #629726 by josmiceli(19441)\"\" \"About 
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Since team A and team B have the same number of students
\n" ); document.write( "and ratios won't change whatever the numbers are, I will say:
\n" ); document.write( "team A = \"+120+\" students
\n" ); document.write( "team B = \"+120+\" students
\n" ); document.write( "-----------------------
\n" ); document.write( "team A:
\n" ); document.write( "\"+b%2Fg+=+2%2F1+\"
\n" ); document.write( "\"+b+=+2g+\"
\n" ); document.write( "\"+b+=+2%2A%28+120+-+b+%29+\"
\n" ); document.write( "\"+b+=+240+-+2b+\"
\n" ); document.write( "\"+3b+=+240+\"
\n" ); document.write( "\"+b+=+80+\"
\n" ); document.write( "\"+g+=+40+\"
\n" ); document.write( "---------------
\n" ); document.write( "team B:
\n" ); document.write( "\"+b%2Fg+=+4%2F11+\"
\n" ); document.write( "\"+b+=+%284%2F11%29%2Ag+\"
\n" ); document.write( "\"+b+=+%284%2F11%29%2A%28+120+-+b+%29+\"
\n" ); document.write( "\"+b+=+43.636+-+.3636b+\"
\n" ); document.write( "\"+1.3636b+=+43.636+\"
\n" ); document.write( "\"+b+=+32+\"
\n" ); document.write( "and
\n" ); document.write( "\"+g+=+88+\"
\n" ); document.write( "----------------
\n" ); document.write( "Total number of boys is:
\n" ); document.write( "\"+80+%2B+32+=+112+\"
\n" ); document.write( "Total number of girls is:
\n" ); document.write( "\"+40+%2B+88+=+128+\"
\n" ); document.write( "------------------
\n" ); document.write( "\"+b%2Fg+=+112%2F128+\"
\n" ); document.write( "Divide top and bottom by \"+16+\"
\n" ); document.write( "\"+b%2Fg+=+7%2F8+\"
\n" ); document.write( "The ratio of boys to girls in grade 6 is 7/8
\n" ); document.write( "check:
\n" ); document.write( "\"+112%2F240+=+7%2F15+\"
\n" ); document.write( "and
\n" ); document.write( "\"+128%2F240+=+8%2F15+\"
\n" ); document.write( "and
\n" ); document.write( "\"+%28%28+7%2F15+%29%29+%2F+%28%28+8%2F15+%29%29+=+7%2F8+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );