document.write( "Question 966651: In a particular classroom there are 1.25 girls for every 2 boys.\r
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document.write( "If this ratio is consistent across the school, how many boys are there in this school with a total student population of 650?
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Algebra.Com's Answer #590787 by Theo(13342)![]() ![]() You can put this solution on YOUR website! let b = number of boys \n" ); document.write( "let g = number of girls \n" ); document.write( "b + g = 650\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the ratio of girls to boys is equal to g/b which is equal to 1.25 / 2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "in the ratio equation of g/b = 1.25 / 2, cross multiply to get 2 * g = 1.25 * b.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "solve for g to get g = 1.25 * b / 2.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you are solving for g, because you want the original eqution of b + g = 650 to be in terms of b only.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "this is accomplished by solving for g in terms of b and then using what g is equal to in terms of b rather than using g.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "in the equation of b + g = 650, replace g with 1.25 * b / 2 to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "b + g = 650 becomes b + 1.25 * b / 2 = 650\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "multiply both sides of this eqution by 2 to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2 * b + 1.25 * b = 650 * 2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "combine like terms to get 3.25 * b = 650 * 2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "simplify to get 3.25 * b = 1300.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "divide both sides of this equation by 3.25 to get b = 1300 / 3.25 = 400.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that's your solution.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "b = 400\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you also get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "g = 650 - 400 = 250 \n" ); document.write( "b + g = 400 + 250 = 650\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |