document.write( "Question 148920: Audrey has 35 dimes and quarters in her piggy bank with a total value of $6.95. How many coins are dimes and how many are quarters? \n" ); document.write( "
Algebra.Com's Answer #109242 by mangopeeler07(462)![]() ![]() ![]() You can put this solution on YOUR website! d=# dimes \n" ); document.write( "q=# quarters \n" ); document.write( "coefficient=value of coin in cents\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "10d+25q=695 \n" ); document.write( "d+q=35\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Solve for d in the second equation: \n" ); document.write( "d=35-q\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Plug that into the first equation: \n" ); document.write( "10(35-q)+25q=695\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Distribute: \n" ); document.write( "350-10q+25q=695\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Combine like terms: \n" ); document.write( "350+15q=695\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Subtract 350 from both sides \n" ); document.write( "15q=345\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Divide by 15 \n" ); document.write( "q=23\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Plug that into the second equation: \n" ); document.write( "d+23=35 \n" ); document.write( "d=12\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "23 quarters \n" ); document.write( "12 dimes \n" ); document.write( " |