document.write( "Question 118704: a jar of dimes and quarters contains $15.25.there are 103 coins in all.how many of each are there? \n" ); document.write( "

Algebra.Com's Answer #86826 by ptaylor(2198) $\"\"$ $\"About$

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\n" ); document.write( "Let x=number of quarters; value of quarters=0.25x
\n" ); document.write( "Then 103-x=number of dimes; value of dimes=0.10(103-x)\r
\n" ); document.write( "\n" ); document.write( "Now we are told that the value of the quarters plus the value of the dimes equals $15.25. So our equation to solve is:\r
\n" ); document.write( "\n" ); document.write( "0.25x+0.10(103-x)=$15.25 get rid of parens\r
\n" ); document.write( "\n" ); document.write( "0.25x+10.30-0.10x=15.25 subtract 10.30 from both sides
\n" ); document.write( "0.25x+10.30-10.30-0.10x=15.25-10.30 collect like terms
\n" ); document.write( "0.15x=4.95 divide both sides by 0.15\r
\n" ); document.write( "\n" ); document.write( "x=33---------------number of quarters\r
\n" ); document.write( "\n" ); document.write( "103-x=103-33=70------------------number of dimes\r
\n" ); document.write( "\n" ); document.write( "CK\r
\n" ); document.write( "\n" ); document.write( "33*0.25+70*0.10=15.25
\n" ); document.write( "8.25+7.00=15.25
\n" ); document.write( "15.25=15.25\r
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\n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor\r
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