document.write( "Question 199219: A jar contains a total of 85 coins, all of which are either DIMES OR QUARTERS. If the coins together are worth $15.40, how many of each type of coin are in the jar?\r
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document.write( "Please help -- can't figure this one out.\r
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document.write( "Thank you! \n" );
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Algebra.Com's Answer #149691 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A jar contains a total of 85 coins, all of which are either DIMES OR QUARTERS. \n" ); document.write( " If the coins together are worth $15.40, how many of each type of coin are in the jar? \n" ); document.write( ": \n" ); document.write( "Let d = number of dimes \n" ); document.write( "Let q = number of quarters \n" ); document.write( "; \n" ); document.write( "It says,\"A jar contains a total of 85 coins,\"; therefore: \n" ); document.write( "d + q = 85 \n" ); document.write( "or \n" ); document.write( "d = (85-q); use for substitution \n" ); document.write( ": \n" ); document.write( "\"If the coins together are worth $15.40,\"; therefore: \n" ); document.write( ".10d + .25q = 15.40 \n" ); document.write( ": \n" ); document.write( "Substitute (85-q) for d in the above equation \n" ); document.write( ".10(85-q) + .25q = 15.40 \n" ); document.write( "8.5 - .10q + .25q = 15.40 \n" ); document.write( "-.10q + .25q = 15.40 - 8.5 \n" ); document.write( ".15q = 6.90 \n" ); document.write( "q = \n" ); document.write( "q = 46 quarters \n" ); document.write( "then \n" ); document.write( "d = 85 - 46 \n" ); document.write( "d = 39 dimes \n" ); document.write( "; \n" ); document.write( ": \n" ); document.write( "Check solution, find the values \n" ); document.write( ".10(39) + .25(46) = \n" ); document.write( "3.90 + 11.50 = 15.40\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |