document.write( "Question 874503: there is a group of boys and girl waiting for the school buses .
\n" ); document.write( "15 girls get on the first bus.The ratio of boys to girls at the stop is now 7:4.
\n" ); document.write( "12 boys get on the next bus.the ratio of boys to girls at the stop is now 1:1
\n" ); document.write( "How many students where there at the stop to start with. \n" ); document.write( "
Algebra.Com's Answer #527555 by ankor@dixie-net.com(22740)\"\" \"About 
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there is a group of boys and girl waiting for the school buses.
\n" ); document.write( "Let g = no. of girls originally
\n" ); document.write( "Let b = no. of boys
\n" ); document.write( ":
\n" ); document.write( "Write an equation for each statement
\n" ); document.write( ":
\n" ); document.write( "\"15 girls get on the first bus.The ratio of boys to girls at the stop is now 7:4.\"
\n" ); document.write( "\"b%2F%28%28g-15%29%29\" = \"7%2F4\" at the stop
\n" ); document.write( ":
\n" ); document.write( "\"12 boys get on the next bus.the ratio of boys to girls at the stop is now 1:1\"
\n" ); document.write( "b - 12 = g - 15, boys equal girls now
\n" ); document.write( "b = g - 15 + 12
\n" ); document.write( "b = (g - 3)
\n" ); document.write( ":
\n" ); document.write( "Using the first equation, replace b with (g-3)
\n" ); document.write( "\"%28g-3%29%2F%28g-15%29\" = \"7%2F4\"
\n" ); document.write( "cross multiply
\n" ); document.write( "7(g-15) = 4(g-3)
\n" ); document.write( "7g - 105 = 4g - 12
\n" ); document.write( "7g - 4g = -12 + 105
\n" ); document.write( "3g = 93
\n" ); document.write( "g = 93/3
\n" ); document.write( "g = 31 girls originally
\n" ); document.write( "then we know
\n" ); document.write( "b = g - 3
\n" ); document.write( "b = 28 boys
\n" ); document.write( ":
\n" ); document.write( "How many students were there at the stop to start with?
\n" ); document.write( "31 + 28 = 59 students
\n" ); document.write( ":
\n" ); document.write( " \n" ); document.write( "
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