document.write( "Question 524072: Joan has $4.50 in nickels, dimes, and quarters. There are twice as many dimes as nickels, and two more quarters than nickels. How many of each type of coin does she have? \n" ); document.write( "

Algebra.Com's Answer #347567 by oberobic(2304) $\"\"$ $\"About$

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n = number of nickels
\n" ); document.write( "5n = value of nickels in cents
\n" ); document.write( "d = number of dimes
\n" ); document.write( "10d = value of dimes in cents
\n" ); document.write( "q = number of quarters
\n" ); document.write( "25q = value of quarters in cents
\n" ); document.write( ".
\n" ); document.write( "5n + 10d + 25q = 450 cents
\n" ); document.write( ".
\n" ); document.write( "d = 2n
\n" ); document.write( "q = n+2
\n" ); document.write( ".
\n" ); document.write( "5n + 10(2n) + 25(n+2) = 450
\n" ); document.write( ".
\n" ); document.write( "5n + 20n +25n +50 = 450
\n" ); document.write( ".
\n" ); document.write( "50n = 400
\n" ); document.write( ".
\n" ); document.write( "n = 8
\n" ); document.write( ".
\n" ); document.write( "d = 2(8) = 16
\n" ); document.write( ".
\n" ); document.write( "q = n+2 = 10
\n" ); document.write( ".
\n" ); document.write( "Check the values
\n" ); document.write( ".
\n" ); document.write( "5*8 = 40 cents
\n" ); document.write( "10*16 = 160 cents
\n" ); document.write( "25*10 = 250 cents
\n" ); document.write( "40 + 160 + 250 = 450 cents
\n" ); document.write( "Correct.
\n" ); document.write( ".
\n" ); document.write( "Answer: 8 nickels, 16 dimes, and 10 quarters.
\n" ); document.write( ".
\n" ); document.write( "Done. \n" ); document.write( "

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