document.write( "Question 443785: Juan has 24 coins worth $2.80. His coins are nickels, dimes and quarters. The number of dimes equals the sum of number of quarters and nickels. How many dimes does he have? \n" ); document.write( "
Algebra.Com's Answer #306131 by ankor@dixie-net.com(22740)\"\" \"About 
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Let n = no. of nickels
\n" ); document.write( "Let d = no. of dimes
\n" ); document.write( "Let q = no. of quarters
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\n" ); document.write( "Write an equation(s) for each sentence;
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\n" ); document.write( "\"Juan has 24 coins worth $2.80.\"
\n" ); document.write( "n + d + q = 24
\n" ); document.write( "and
\n" ); document.write( ".05n + .10d + .24q = 2.80
\n" ); document.write( ":
\n" ); document.write( "\" The number of dimes equals the sum of number of quarters and nickels.\"
\n" ); document.write( "d = q + n
\n" ); document.write( "rearrange to
\n" ); document.write( "-n + d - q = 0
\n" ); document.write( "Add this to the 1st equation
\n" ); document.write( "-n + d - q = 0
\n" ); document.write( "n + d + q = 24
\n" ); document.write( "------------------adding eliminates n and q, find d
\n" ); document.write( "2d = 24
\n" ); document.write( "d = \"24%2F2\"
\n" ); document.write( "d = 12 dimes, which is all they ask for here.\r
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