document.write( "Question 220194: An eighth grade class picnic has a boy-girl ratio of 5:3. Three more girls join the class, changing the ratio to 10:7. How many students are now in the class? \n" ); document.write( "

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An eighth grade class picnic has a boy-girl ratio of 5:3.
\n" ); document.write( " Three more girls join the class, changing the ratio to 10:7. How many students are now in the class?
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\n" ); document.write( "Let m = the multiplier
\n" ); document.write( ":
\n" ); document.write( " $\"%285m%29%2F%283m%2B3%29\"$ = $\"%2810%29%2F%287%29\"$
\n" ); document.write( "Cross multiply
\n" ); document.write( "7(5m) = 10(3m+3)
\n" ); document.write( "35m = 30m + 30
\n" ); document.write( "35m - 30m = 30
\n" ); document.write( "5m = 30
\n" ); document.write( "m = $\"30%2F5\"$
\n" ); document.write( "m = 6 is the multiplier
\n" ); document.write( ":
\n" ); document.write( "Find the no. of girls now
\n" ); document.write( "girls = 3(6) + 3
\n" ); document.write( "girls = 21 girls
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\n" ); document.write( "Check solution
\n" ); document.write( "6*5 = 30 boys
\n" ); document.write( ":
\n" ); document.write( "30/21 = 10/7
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