document.write( "Question 147633: Suppose you have 12 coins that total 32 cents. Some of the coins are nickels and the rest are pennies. How many of each coin do you have? \n" ); document.write( "
Algebra.Com's Answer #108023 by ptaylor(2198)![]() ![]() You can put this solution on YOUR website! One approach: \n" ); document.write( "Let x=number of nickels---------------5x=amount of nickels \n" ); document.write( "Then 12-x=number of pennies---1(12-x)=amount of pennies \n" ); document.write( "And we are told that the above amounts totals 32 cents so our equation to solve:\r \n" ); document.write( "\n" ); document.write( "5x+(12-x)=32 or \n" ); document.write( "5x+12-x=32 subtract 12 from each side \n" ); document.write( "5x+12-12-x=32-12 collect like terms \n" ); document.write( "4x=20 divide each side by 4 \n" ); document.write( "x=5------------------------------------number of nickels\r \n" ); document.write( "\n" ); document.write( "12-x=12-5=7-------------------------------number of pennies\r \n" ); document.write( "\n" ); document.write( "CK \n" ); document.write( "5*5+7*1=32 \n" ); document.write( "25+7=32 \n" ); document.write( "32=32\r \n" ); document.write( "\n" ); document.write( "Another approach:\r \n" ); document.write( "\n" ); document.write( "Let x=number of nickels \n" ); document.write( "And let y=number of pennies\r \n" ); document.write( "\n" ); document.write( "Now we are told the following \n" ); document.write( "x+y=12------------------------------------eq1 \n" ); document.write( "5x+y=32------------------------------------eq2\r \n" ); document.write( "\n" ); document.write( "subtract eq1 from eq2 and we get: \n" ); document.write( "4x=20 \n" ); document.write( "etc.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor \n" ); document.write( " |