document.write( "Question 313058: I have nickles, dimes, and quarters. There are a total of 24 coins and their value is $3.00. There is one nickle more than dimes. How many coins do I have of each? \n" ); document.write( "
Algebra.Com's Answer #224013 by ankor@dixie-net.com(22740)\"\" \"About 
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:
\n" ); document.write( "I have nickles, dimes, and quarters.
\n" ); document.write( "n, d, q
\n" ); document.write( ":
\n" ); document.write( "Write an equation for each statement:
\n" ); document.write( ":
\n" ); document.write( " There are a total of 24 coins
\n" ); document.write( "n + d + q = 24
\n" ); document.write( ":
\n" ); document.write( "and their value is $3.00.
\n" ); document.write( ".05n + .10d + .25q = 3.00
\n" ); document.write( ":
\n" ); document.write( " There is one nickle more than dimes.
\n" ); document.write( "n = d + 1
\n" ); document.write( ":
\n" ); document.write( "Replace n with (d+1) in the 1st equation
\n" ); document.write( "(d+1) + d + q = 24
\n" ); document.write( "2d + q = 24 - 1
\n" ); document.write( "2d + q = 23
\n" ); document.write( ":
\n" ); document.write( "Replace n with (d+1) in the 2nd equation
\n" ); document.write( ".05(d+1) + .10d + .25q = 3.00
\n" ); document.write( ".05d + .05 + .10d + .25q = 3.00
\n" ); document.write( ".15d + .25q = 3.00 - .05
\n" ); document.write( ".15d + .25q = 2.95
\n" ); document.write( ":
\n" ); document.write( "Multiply the above equation by 4 and subtract from 2d + q = 23
\n" ); document.write( " 2d + q = 23
\n" ); document.write( ".6d + q = 11.8
\n" ); document.write( "--------------
\n" ); document.write( "1.4d = 11.2
\n" ); document.write( "d = \"11.2%2F1.4\"
\n" ); document.write( "d = 8 dimes
\n" ); document.write( ":
\n" ); document.write( "Find q using eq: 2d + q = 23
\n" ); document.write( "2(8) + q = 23
\n" ); document.write( "q = 23-16
\n" ); document.write( "q = 7 quarters
\n" ); document.write( ":
\n" ); document.write( "Use the 1st equation to find n
\n" ); document.write( "n + d + q = 24
\n" ); document.write( "n + 8 + 7 = 24
\n" ); document.write( "n = 24 - 15
\n" ); document.write( "n = 9 nickels
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check solution in the total$ equation
\n" ); document.write( ".05(9) + .10(8) + .25(7) =
\n" ); document.write( ".45 + .80 + 1.75 = 3.00\r
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