document.write( "Question 181964: Please help me with this problem:
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document.write( "In the Olympics, the Canadian team won a total of 22 medals, consisting of gold, silver, and bronze. There were five fewer gold medals than bronze, and 3 fewer bronze than silver medals. How many gold, silver, and bronze medals did Canada win? \n" );
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Algebra.Com's Answer #136596 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! In the Olympics, the Canadian team won a total of 22 medals, consisting of gold, silver, and bronze. There were five fewer gold medals than bronze, and 3 fewer bronze than silver medals. How many gold, silver, and bronze medals did Canada win? \n" ); document.write( "------------------------------ \n" ); document.write( "g + s + b = 22 \n" ); document.write( "g = b-5 \n" ); document.write( "b = s-3 \n" ); document.write( "------------------ \n" ); document.write( "Rearrange #3: \n" ); document.write( "s = b+3 \n" ); document.write( "----------------- \n" ); document.write( "Substitute for s and for g in #1 to get: \n" ); document.write( "(b-5) + (b+3) + b = 22 \n" ); document.write( "3b -2 = 22 \n" ); document.write( "3b = 24 \n" ); document.write( "b = 8 (# of bronze medals) \n" ); document.write( "------------ \n" ); document.write( "Then g = b-5 = 8-5 = 3 (# of gold medals) \n" ); document.write( "and s + b+3 = 8+3 = 11 (# of silver medals) \n" ); document.write( "============================================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |