document.write( "Question 1058272: Jessie has dimes and nickels in his piggy bank. The number of nickels is 3 times the number of dimes. If the total amount is $8.50, how many coins are there in total \n" ); document.write( "
Algebra.Com's Answer #673313 by solve_for_x(190)\"\" \"About 
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Let n represent the number of nickels, and let d represent the number of dimes.\r
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\n" ); document.write( "\n" ); document.write( "Since the number of nickels is 3 times the number of dimes, you can write:\r
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\n" ); document.write( "\n" ); document.write( "n = 3d\r
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\n" ); document.write( "\n" ); document.write( "The total value of the coins is:\r
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\n" ); document.write( "\n" ); document.write( "0.05n + 0.10d = 8.50\r
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\n" ); document.write( "\n" ); document.write( "Substituting 3d in place of n gives:\r
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\n" ); document.write( "\n" ); document.write( "0.05(3d) + 0.10d = 8.50\r
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\n" ); document.write( "\n" ); document.write( "0.15d + 0.10d = 8.50\r
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\n" ); document.write( "\n" ); document.write( "0.25d = 8.50\r
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\n" ); document.write( "\n" ); document.write( "d = 8.50 / 0.25\r
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\n" ); document.write( "\n" ); document.write( "d = 34\r
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\n" ); document.write( "\n" ); document.write( "The number of dimes is 34.\r
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\n" ); document.write( "\n" ); document.write( "The number of nickels is then 3 * 34 = 102.\r
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\n" ); document.write( "\n" ); document.write( "Check:\r
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\n" ); document.write( "\n" ); document.write( "0.05(102) + 0.10(34) = 5.10 + 3.40 = 8.50\r
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\n" ); document.write( "\n" ); document.write( "Solution: He has 34 dimes and 102 nickels.
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