document.write( "Question 782536: Suppose that Maria has 130 coins consisting of pennies, nickels, and dimes. The number of nickels she has is 9 less than twice the number of pennies; the number of dimes she has is 23 less than three times the number of pennies. How many coins of each kind does she have? \n" ); document.write( "

Algebra.Com's Answer #476421 by mananth(16946) $\"\"$ $\"About$

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Suppose that Maria has 130 coins consisting of pennies, nickels, and dimes. The number of nickels she has is 9 less than twice the number of pennies; the number of dimes she has is 23 less than three times the number of pennies. How many coins of each kind does she have? \r
\n" ); document.write( "\n" ); document.write( "Pennies = x numbers\r
\n" ); document.write( "\n" ); document.write( "Nickels = 2x-9\r
\n" ); document.write( "\n" ); document.write( "Dimes = 3x-23\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Add them up\r
\n" ); document.write( "\n" ); document.write( "x+2x-9+3x-23=130\r
\n" ); document.write( "\n" ); document.write( "6x-32=130
\n" ); document.write( "6x=130+32\r
\n" ); document.write( "\n" ); document.write( "6x=162
\n" ); document.write( "/6
\n" ); document.write( "x=27 ----------- pennies\r
\n" ); document.write( "\n" ); document.write( "substitute x to get the number of nickels and dimes \n" ); document.write( "

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