document.write( "Question 541213: The ratio of the number of boys to the number of girls in a club was 9:8.
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document.write( "1/2 of the number of girls left the club and there were 15 more boys than girls.
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document.write( "a. How many children were in the club at first?
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document.write( "b. How many girls left the club? \n" );
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Algebra.Com's Answer #354112 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! The ratio of the number of boys to the number of girls in a club was 9:8. \n" ); document.write( "Let # of girls be 9x \n" ); document.write( "Then # of boys is 8x \n" ); document.write( "-------------------------------------- \n" ); document.write( "1/2 of the number of girls left the club and there were 15 more boys than girls. \n" ); document.write( "Equation: \n" ); document.write( "8x = (1/2)9x + 15 \n" ); document.write( "8x = 4.5x + 15 \n" ); document.write( "3.5x = 15 \n" ); document.write( "x = 15/3.5 \n" ); document.write( "--- \n" ); document.write( "a. How many children were in the club at first? \n" ); document.write( "9x+8x = 17x = 73 when rounded up \n" ); document.write( "------------- \n" ); document.write( "b. How many girls left the club? \n" ); document.write( "4.5x = 20 when rounded up \n" ); document.write( "========================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "=================== \n" ); document.write( " \n" ); document.write( " |