document.write( "Question 653113: Toni’s piggy bank contains $19.20, made up of 10-cent pieces and 20-cent pieces. If
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document.write( "There are 114 coins in the piggy bank, how many coins of each denomination are there? \n" );
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Algebra.Com's Answer #408267 by checkley79(3341)![]() ![]() ![]() You can put this solution on YOUR website! Let X be the number of 10 cent pieces. \n" ); document.write( "Let y be the number of 20 cent pieces. \n" ); document.write( "X+Y=114 \n" ); document.write( "X=114-Y \n" ); document.write( ".10(114-Y)+.20Y=19.20 \n" ); document.write( "11.4-.10Y+.20Y=19.20 \n" ); document.write( ".10Y=19.20-11.40 \n" ); document.write( ".10Y=7.80 \n" ); document.write( "Y=7.80/.10 \n" ); document.write( "Y=78 NUMBER OF 20 CENT PIECES. \n" ); document.write( "114-78=36 NUMBER OF 10 CENT PIECES. \n" ); document.write( "PROOF: \n" ); document.write( ".10*36+.20*78=19.20 \n" ); document.write( "3.60+15.60=19.20 \n" ); document.write( "19.20=19.20 \n" ); document.write( " |