document.write( "Question 160152: A collection of 1 cent (pennies), 5 cent (pickels) and 10 cent (dimes) totals 2.12.00. The total number of coins is 42 and there are twice as many 5 cent (nickels0 as 10 cent (dimes). How many of each kind are there? \n" ); document.write( "
Algebra.Com's Answer #118105 by KnightOwlTutor(293)\"\" \"About 
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X=number of dimes
\n" ); document.write( "2X=number of nickels\r
\n" ); document.write( "\n" ); document.write( "42-x-2x=number of pennies\r
\n" ); document.write( "\n" ); document.write( ".10x+.05(2x)+.01(42-3x)=2.12\r
\n" ); document.write( "\n" ); document.write( "To make this expression easier to deal with multiply each term by 100\r
\n" ); document.write( "\n" ); document.write( "10x+10x+42-3x=212\r
\n" ); document.write( "\n" ); document.write( "Simplify by combining like terms\r
\n" ); document.write( "\n" ); document.write( "(10+10-3)x+42=212\r
\n" ); document.write( "\n" ); document.write( "17x+42=212\r
\n" ); document.write( "\n" ); document.write( "Subract 42 from both sides\r
\n" ); document.write( "\n" ); document.write( "17X=170\r
\n" ); document.write( "\n" ); document.write( "X=10=number of dimes
\n" ); document.write( "2X=20=number of nickels\r
\n" ); document.write( "\n" ); document.write( "42-3x=12=number of pennies\r
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\n" ); document.write( "\n" ); document.write( "Let's check our answer 10(.1)=$1.00
\n" ); document.write( " 20(.05)=$1.00
\n" ); document.write( " 12(.01)=$0.12\r
\n" ); document.write( "\n" ); document.write( "add together and come up with $2.12\r
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