document.write( "Question 1202710: The ratio of boys to girls among the students who signed up for a basketball competition is 4:3. If 3 boys drop out of the competition and 4 girls join, there will be the same number of boys and girls. Evaluate the number of students who signed up for the basketball competition. \n" ); document.write( "
Algebra.Com's Answer #837775 by Theo(13342)\"\" \"About 
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b/g = 4/3
\n" ); document.write( "(b-3)/(g+4) = 1/1
\n" ); document.write( "b = number of boys
\n" ); document.write( "g = number of girls
\n" ); document.write( "from b/g = 4/3, solve for b to get b = 4/3*g
\n" ); document.write( "from (b-3)/(g+4), solve for (b-3) to get b-3 = g+4
\n" ); document.write( "add 7 to both sides of this equation to get b = g+7
\n" ); document.write( "since they both equal to b, set them equal to each other to get:
\n" ); document.write( "4/3*g = g+7
\n" ); document.write( "multiply both sides of this equation by 3 to get:
\n" ); document.write( "4g = 3g+21
\n" ); document.write( "subtract 3g from both sides of this equation to get:
\n" ); document.write( "g = 21
\n" ); document.write( "since b = 4/3*g, solve for b to get b=4/3*21=28
\n" ); document.write( "you have:
\n" ); document.write( "b = 28
\n" ); document.write( "g = 21
\n" ); document.write( "b/g = 28/21 = 4/3
\n" ); document.write( "b-3 = 25
\n" ); document.write( "g+4 = 25
\n" ); document.write( "(b-3)/(g+4) = 25/25 = 1
\n" ); document.write( "solution is confirmed to be good.
\n" ); document.write( "your solution is:
\n" ); document.write( "28 boys and 21 girls signed up for the competition for a total of 49 students.\r
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