document.write( "Question 293625: the total value of quarters and nickels in a jar full of change is $7.70. If the nickels were quarters and the quarters were nickels, the total value of the coins would be $4.90. Find the number of nickels in the bank. \n" ); document.write( "

Algebra.Com's Answer #211914 by ptaylor(2198) $\"\"$ $\"About$

You can put this solution on YOUR website!
OK. Lets deal in pennies.
\n" ); document.write( "Let x=number of nickels
\n" ); document.write( "And y=number of quarters
\n" ); document.write( "Now we are told the following:
\n" ); document.write( "5x+25y=770-------------------------eq1
\n" ); document.write( "and next we are told:
\n" ); document.write( "25x+5y=490----------------------eq2\r
\n" ); document.write( "\n" ); document.write( "multiply each term in eq2 by 5:
\n" ); document.write( "125x+25y=2450----------------------eq2a
\n" ); document.write( "subtract eq1 from eq2a and we get:
\n" ); document.write( "120x=1680 divide each term by 120
\n" ); document.write( "x=14----------------------------------number of nickels
\n" ); document.write( "substitute x=14 into eq1:
\n" ); document.write( "70+25y=770
\n" ); document.write( "25y=700
\n" ); document.write( "y=28----number of quarters\r
\n" ); document.write( "\n" ); document.write( "CK
\n" ); document.write( "5*14+25*28=770
\n" ); document.write( "70+700=770
\n" ); document.write( "770=770
\n" ); document.write( "and
\n" ); document.write( "25*14+5*28=490
\n" ); document.write( "350+140=490
\n" ); document.write( "490=490\r
\n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor \n" ); document.write( "

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