document.write( "Question 696747: The number of boys in a class is 4 more than the number of girls. The ratio of the number of boys to the number of girls is 7/5. How many students are there in class? \n" ); document.write( "

Algebra.Com's Answer #429270 by Stitch(470) $\"\"$ $\"About$

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Let B = number of Boys
\n" ); document.write( "Let G = number of girls
\n" ); document.write( "Equation 1: $\"B+=+G+%2B+4\"$
\n" ); document.write( "Equation 2: $\"B%2FG+=+7%2F5\"$
\n" ); document.write( "----------------------------
\n" ); document.write( "Plug (G + 4) into equation 2 for B
\n" ); document.write( "Equation 2: $\"B%2FG+=+7%2F5\"$
\n" ); document.write( " $\"%28G+%2B+4%29%2FG+=+7%2F5\"$
\n" ); document.write( "Multiply both sides by G
\n" ); document.write( " $\"%28G+%2B+4%29+=+7G%2F5\"$
\n" ); document.write( "Multiply both sides by 5
\n" ); document.write( " $\"5%2A%28G+%2B+4%29+=+7G\"$
\n" ); document.write( "Simplify
\n" ); document.write( " $\"5G+%2B+20+=+7G\"$
\n" ); document.write( "Subtract 5G from both sides
\n" ); document.write( " $\"20+=+2G\"$
\n" ); document.write( "Divide both sides by 2
\n" ); document.write( " $\"highlight%2810+=+G%29\"$
\n" ); document.write( "Now plug 10 into equation 1 for G
\n" ); document.write( "Equation 1: $\"B+=+G+%2B+4\"$
\n" ); document.write( " $\"B+=+%2810%29+%2B+4\"$
\n" ); document.write( " $\"highlight_green%28B+=+14%29\"$
\n" ); document.write( "14 + 10 = 24
\n" ); document.write( "There are 24 students in the class
\n" ); document.write( " \n" ); document.write( "

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