document.write( "Question 805614: Bill has 13 coins in his pocket that have a total value of 95 cents. If these coins consist of nickels and dimes, how many of each kind are there? \n" ); document.write( "

Algebra.Com's Answer #485361 by MathLover1(20850) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( "Let $\"x\"$ be the number of $\"nickels\"$ . So $\"5x\"$ is the amount of money in nickels.
\n" ); document.write( "Let $\"y+\"$ be the number of $\"dimes\"$ . So $\"10y\"$ is the amount of money in dimes.\r
\n" ); document.write( "\n" ); document.write( " given:\r
\n" ); document.write( "\n" ); document.write( " $\"x%2By=13\"$ ...................eq.1
\n" ); document.write( " $\"5x%2B10y=95\"$ .........eq.2
\n" ); document.write( "______________________ solve the system\r
\n" ); document.write( "\n" ); document.write( " $\"x%2By=13\"$ ...................eq.1.....solve for $\"x\"$
\n" ); document.write( " $\"x+=13-y\"$ ...................eq.1a................substitute in eq.2\r
\n" ); document.write( "\n" ); document.write( " $\"5%2813-y%29%2B10y=95\"$ .........eq.2.....solve for $\"y\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"65-5y%2B10y=95\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"5y=95-65\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"5y=30\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y=30%2F5\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"highlight%28y=6%29\"$ ........the number of $\"dimes\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"x+=13-y\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x+=13-6\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"highlight%28x+=7%29\"$ .............the number of $\"nickels\"$ \r
\n" ); document.write( "\n" ); document.write( "so, you have $\"6\"$ dimes and $\"7\"$ nickels
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