document.write( "Question 67007: You have 15 coins in your pocket that are either quarters or nickels. They total $2.75. How many of each coin do you have? Write and solve a system of equation to model the situation. I so far have have 0.25q+ 0.05=2.75 \n" ); document.write( "
Algebra.Com's Answer #47635 by ptaylor(2198)![]() ![]() You can put this solution on YOUR website! You have 15 coins in your pocket that are either quarters or nickels. They total $2.75. How many of each coin do you have? Write and solve a system of equation to model the situation. I so far have have 0.25q+ 0.05=2.75\r \n" ); document.write( "\n" ); document.write( "Let q=number of quarters \n" ); document.write( "Then n=number of nickels\r \n" ); document.write( "\n" ); document.write( "LETS DEAL IN PENNIES TO KEEP CONFUSION DOWN.\r \n" ); document.write( "\n" ); document.write( "Now we are told that q+n=15----------our first equation\r \n" ); document.write( "\n" ); document.write( "We are also told that:\r \n" ); document.write( "\n" ); document.write( "25q+5n=275 (all cents)----------------our second equation\r \n" ); document.write( "\n" ); document.write( "Multiply first equation by 5:\r \n" ); document.write( "\n" ); document.write( "5q+5n=75 subtract this equation from our second equation:\r \n" ); document.write( "\n" ); document.write( "20q=200 \n" ); document.write( "q=10--------------------number of quarters\r \n" ); document.write( "\n" ); document.write( "substitute q=10 in our first equation:\r \n" ); document.write( "\n" ); document.write( "10+n=15 subtract 10 from both sides \n" ); document.write( "n=15-10=5 ----------------------------number of nickels\r \n" ); document.write( "\n" ); document.write( "CK\r \n" ); document.write( "\n" ); document.write( "10 quarters plus 5 nickels equals 15 coins\r \n" ); document.write( "\n" ); document.write( "10 quarters=$2.50 \n" ); document.write( "5 nickels=.25\r \n" ); document.write( "\n" ); document.write( "Total = $2.75\r \n" ); document.write( "\n" ); document.write( "Hope this helps----ptaylor\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |