document.write( "Question 753100: Stan has 15 coins worth $3.55. If the coins are all quarters and nickels, how many quarters and nickels does he have?
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Algebra.Com's Answer #458270 by tommyt3rd(5050) You can put this solution on YOUR website! number of coins: n+q=15\r \n" ); document.write( "\n" ); document.write( "amt. of money: 0.05n+0.25q=3.55\r \n" ); document.write( "\n" ); document.write( "for convenience we multiply by 20:\r \n" ); document.write( "\n" ); document.write( "20(0.05n+0.25q)=20(3.55)\r \n" ); document.write( "\n" ); document.write( "n+5q=71\r \n" ); document.write( "\n" ); document.write( "Now we subtract the coins equation from this one...\r \n" ); document.write( "\n" ); document.write( "(n+5q)-(n+q)=71-15\r \n" ); document.write( "\n" ); document.write( "4q=56 \n" ); document.write( "q=14\r \n" ); document.write( "\n" ); document.write( "therefore there is 1 nickel\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( ":)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |