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)\"\" \"About 
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
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