document.write( "Question 502977: Jack collects the new nickels and quarters. The face value of he collection is $26.25. He has 50 more quarters than twice the number of nickels. How many nickels and how many quarters does he have? \n" ); document.write( "
Algebra.Com's Answer #339035 by jrb1965(16)\"\" \"About 
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So you set up equations to match the words:\r
\n" ); document.write( "\n" ); document.write( "N = Nickels
\n" ); document.write( "Q = Quarters\r
\n" ); document.write( "\n" ); document.write( "50 more means \"add 50\"
\n" ); document.write( "Twice means \"multiply by 2\"\r
\n" ); document.write( "\n" ); document.write( "So Q = 2N + 50
\n" ); document.write( "For the value, $26.25 = $0.25Q + $0.05N, since quarters are $0.25 and nickels are $0.05\r
\n" ); document.write( "\n" ); document.write( "Substitute the equation for Q into the value equation and solve\r
\n" ); document.write( "\n" ); document.write( "$26.25 = $0.25(2N + 50) + $0.05N (multiply $0.25 by 2N and 50)\r
\n" ); document.write( "\n" ); document.write( "$26.25 = $0.50N + $12.50 + $0.05N (subtract $12.50 from both sides)\r
\n" ); document.write( "\n" ); document.write( "$13.75 = $0.50N + $0.05N (combine N terms)\r
\n" ); document.write( "\n" ); document.write( "$13.75 = $0.55N (divide by $0.55)\r
\n" ); document.write( "\n" ); document.write( "25 = N\r
\n" ); document.write( "\n" ); document.write( "Q = 2N + 50 = 2(25) + 50 = 50 + 50 = 100\r
\n" ); document.write( "\n" ); document.write( "Answer -\r
\n" ); document.write( "\n" ); document.write( "N = 25
\n" ); document.write( "Q = 100
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