document.write( "Question 1008989: Marcus has a change jar that contains only nickels and quarters. He has 69 coins which add up to a total of $12.45. How many of each type of coin does he have?
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Algebra.Com's Answer #624528 by fractalier(6550)![]() ![]() You can put this solution on YOUR website! Call the number of nickels and quarters, n and q. \n" ); document.write( "Thus we have \n" ); document.write( "n + q = 69 \n" ); document.write( "The value equation is \n" ); document.write( "5n + 25q = 1245 (we work in cents) \n" ); document.write( "Now multiply the top equation by five and subtract and we get \n" ); document.write( "5n + 25q = 1245 \n" ); document.write( "-(5n + 5q = 345) \n" ); document.write( "---------------- \n" ); document.write( "20q = 900 \n" ); document.write( "q = 45 quarters so that we have \n" ); document.write( "n = 69-45 = 24 nickels \n" ); document.write( " |