document.write( "Question 1059797: Sasha has 15 coins worth $2.40. If the coins are all quarters and dimes, how many quarters and dimes does she have?\r
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Algebra.Com's Answer #674860 by math_helper(2461)![]() ![]() You can put this solution on YOUR website! d = # dimes \n" ); document.write( "q = # quarters\r \n" ); document.write( "\n" ); document.write( "d+q = 15 (1) (given) \n" ); document.write( "10d + 25q = 240 (2) (given, expressed in cents) \n" ); document.write( " \n" ); document.write( "10d + 10q = 150 (eqn(1) x10, call it (1')) \n" ); document.write( " 15q = 90 (subtracted (1') from (2)) \n" ); document.write( " q = 6 (divided both sides by 15)\r \n" ); document.write( "\n" ); document.write( "Plug in q=6 into (1) ((2) also would work but not as simple of an equation): d=15-6=9\r \n" ); document.write( "\n" ); document.write( "— \n" ); document.write( "Answer: 9 dimes, 6 quarters \n" ); document.write( "— \n" ); document.write( "Check: 9+6=15 (ok on # of coins) \n" ); document.write( " 10*9 + 25*6 = 90+150 = 240 (ok on value)\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |