document.write( "Question 826543: From a group of boys and girls, 14 girls leave first. Then the ratio of the number of girls to the number of boys becomes 1:2. After this, 43 boys leave the group. Now the boys and girls are equal in number. How many girls were there in the beginning? \n" ); document.write( "
Algebra.Com's Answer #498194 by ankor@dixie-net.com(22740)\"\" \"About 
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From a group of boys and girls, 14 girls leave first.
\n" ); document.write( " Then the ratio of the number of girls to the number of boys becomes 1:2.
\n" ); document.write( " After this, 43 boys leave the group.
\n" ); document.write( " Now the boys and girls are equal in number.
\n" ); document.write( " How many girls were there in the beginning?
\n" ); document.write( ":
\n" ); document.write( "Let g = no. of girls originally
\n" ); document.write( "let b = no. of boys originally
\n" ); document.write( ":
\n" ); document.write( "\"From a group of boys and girls, 14 girls leave first.
\n" ); document.write( " Then the ratio of the number of girls to the number of boys becomes 1:2.
\n" ); document.write( "\"%28g-14%29%2Fb\" = \"1%2F2\"
\n" ); document.write( "Cross multiply
\n" ); document.write( "1b = 2(g-14)
\n" ); document.write( "b = 2g - 28
\n" ); document.write( ":
\n" ); document.write( "\" After this, 43 boys leave the group.
\n" ); document.write( " Now the boys and girls are equal in number.\"
\n" ); document.write( "b - 43 = g - 14
\n" ); document.write( "b = g - 14 + 43
\n" ); document.write( "b = g + 29
\n" ); document.write( "Replace b with (2g-28)
\n" ); document.write( "2g - 28 = g + 29
\n" ); document.write( "2g - g = 29 + 28
\n" ); document.write( "g = 57 girls originally
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "We can confirm this by finding the no. of boys
\n" ); document.write( "b = 2(57) - 28
\n" ); document.write( "b = 86 boys
\n" ); document.write( "\"%2857-14%29%2F86\" = \"43%2F86\" = \"1%2F2\"
\n" ); document.write( "
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