document.write( "Question 373120: Your piggy bank contains $19.75 in dimes and quarters. There are 100 coins in all. How many dimes are there?\r
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Algebra.Com's Answer #265650 by CharlesG2(834)![]() ![]() ![]() You can put this solution on YOUR website! Your piggy bank contains $19.75 in dimes and quarters. There are 100 coins in all. How many dimes are there?\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "D = number of dimes, Q = number of quarters \n" ); document.write( "D + Q = 100 \n" ); document.write( "0.10D + 0.25Q = 19.75 or 10D + 25Q = 1975\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "D = 100 - Q \n" ); document.write( "10(100 - Q) + 25Q = 1975 \n" ); document.write( "1000 - 10Q + 25Q = 1975 \n" ); document.write( "-10Q + 25Q = 975 \n" ); document.write( "15Q = 975 \n" ); document.write( "Q = 65 quarters \n" ); document.write( "D = 100 - 65 = 35 dimes \n" ); document.write( "check: 10(35) + 25(65) = 350 + 1625 = 1975\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |