document.write( "Question 296003: Sami has a collection of nickels and dimes that is worth $5.65. If the number of dimes were doubled and the number of nickels were increased by 8, the value of the coins would be $10.45. how many dimes does she have? \n" ); document.write( "

Algebra.Com's Answer #213353 by stanbon(75887) $\"\"$ $\"About$

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Sami has a collection of nickels and dimes that is worth $5.65. If the number of dimes were doubled and the number of nickels were increased by 8, the value of the coins would be $10.45. how many dimes does she have?
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\n" ); document.write( "Equations:
\n" ); document.write( "5n + 10d = 565 cents
\n" ); document.write( "5(n-8)+10(2d) = 1045 cents
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\n" ); document.write( "Rearrange:
\n" ); document.write( "n + 2d = 113
\n" ); document.write( "(n-8) + 4d = 209
\n" ); document.write( "-------------------------
\n" ); document.write( "n + 2d = 113
\n" ); document.write( "n + 4d = 217
\n" ); document.write( "--------------------
\n" ); document.write( "2d = 104
\n" ); document.write( "d = 52 (# of dimes)
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\n" ); document.write( "Substitute into n + 2d = 113 and solve for \"n\":
\n" ); document.write( "n + 2(52) = 113
\n" ); document.write( "n = 9 (# of nickels)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "==========================
\n" ); document.write( " \n" ); document.write( "

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