document.write( "Question 982974: Sarah invited the same number of boys and girls to a party. Everyone who was invited came, and six additional girls showed up. The ratio of boys to girls was 5:6. How many girls showed up?\r
\n" ); document.write( "\n" ); document.write( "a. 6
\n" ); document.write( "b. 30
\n" ); document.write( "c. 36
\n" ); document.write( "d. 66
\n" ); document.write( "

Algebra.Com's Answer #603782 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Write an equation for each statement
\n" ); document.write( ":
\n" ); document.write( "Sarah invited the same number of boys and girls to a party.
\n" ); document.write( "b = g
\n" ); document.write( " Everyone who was invited came, and six additional girls showed up.
\n" ); document.write( " The ratio of boys to girls was 5:6.
\n" ); document.write( "\"b%2F%28%28g%2B6%29%29\" = \"5%2F6\"
\n" ); document.write( "b = g therefore
\n" ); document.write( "\"g%2F%28%28g%2B6%29%29\" = \"5%2F6\"
\n" ); document.write( "Cross multiply
\n" ); document.write( "6g = 5(g+6)
\n" ); document.write( "6g = 5g + 30
\n" ); document.write( "6g - 5g = 30
\n" ); document.write( "g = 30 girls invited
\n" ); document.write( ":
\n" ); document.write( " How many girls showed up? 36 girls
\n" ); document.write( "
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