document.write( "Question 1033682: Write a system of equations to model each situation. Then use your system to solve.\r
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document.write( "1) A writing workshop enrolls novelists and poets in a ration of 5 to 3. There are 24 people at the workshop. How many novelists are there? How many poets?\r
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document.write( "2) 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? \n" );
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Algebra.Com's Answer #648339 by macston(5194)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "According to rules of posting on this web site, you may ask one question per post. I chose to answer your second question: \n" ); document.write( ". \n" ); document.write( "2) 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? \n" ); document.write( ". \n" ); document.write( "Q=number of quarters; N=number of nickels \n" ); document.write( "Q+N=15 \n" ); document.write( "Q=15-N \n" ); document.write( ". \n" ); document.write( "$0.25Q+$0.05N=$2.75 \n" ); document.write( ".\r \n" ); document.write( "\n" ); document.write( "$0.25(15-N)+$0.05D=$2.75 \n" ); document.write( "$3.75-$0.25N+$0.05N=$2.75 \n" ); document.write( "-$0.20N=-$1.00 \n" ); document.write( "N=5 \n" ); document.write( ". \n" ); document.write( "ANSWER 1: There are 5 nickels. \n" ); document.write( ". \n" ); document.write( "Q=15-N=15-5=10 \n" ); document.write( ". \n" ); document.write( "ANSWER 2: There are 10 quarters. \n" ); document.write( ". \n" ); document.write( "CHECK: \n" ); document.write( ". \n" ); document.write( "$0.25Q+$0.05N=$2.75 \n" ); document.write( "$0.25(10)+$0.05(5)=$2.75 \n" ); document.write( "$2.50+$0.25=$2.75 \n" ); document.write( "$2.75=$2.75 \n" ); document.write( " \n" ); document.write( " |