document.write( "Question 171421: Joe has a collection of nickels and dimes that is worth $5.65. If the number of dimes are doubled and the number of nickels were increased by 8, the value of the coins would be $10.45. How many dimes does he have? \n" ); document.write( "

Algebra.Com's Answer #126613 by stanbon(75887) $\"\"$ $\"About$

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Joe has a collection of nickels and dimes that is worth $5.65. If the number of dimes are doubled and the number of nickels were increased by 8, the value of the coins would be $10.45. How many dimes does he have?
\n" ); document.write( "--------------------
\n" ); document.write( "Value equation: 5n + 10d = 565 cents
\n" ); document.write( "value equation:5(n+8)+10(2d)=1045 cents
\n" ); document.write( "-------------------------------------------
\n" ); document.write( "Rearrange:
\n" ); document.write( "5n + 10d = 565
\n" ); document.write( "5n + 20d = 1005
\n" ); document.write( "------------------------
\n" ); document.write( "10d = 440
\n" ); document.write( "d = 44 (# of dimes)
\n" ); document.write( "----
\n" ); document.write( "Substitute to solve for \"n\":
\n" ); document.write( "5n + 440 = 565
\n" ); document.write( "5n = 125
\n" ); document.write( "n =25 (# of nickels)
\n" ); document.write( "========================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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