document.write( "Question 1130026: A collection of nickels, dimes, and quarters consist of
\n" ); document.write( "14
\n" ); document.write( "14
\n" ); document.write( "coins with a total of
\n" ); document.write( "$
\n" ); document.write( "1.75
\n" ); document.write( "$1.75
\n" ); document.write( ". If the number of dimes is equal to the number of nickels, find the number of each type of coins. \n" ); document.write( "

Algebra.Com's Answer #746673 by math_helper(2461) $\"\"$ $\"About$

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\n" ); document.write( "N = number of nickels = number of dimes
\n" ); document.write( "Q = number of quarters = 14 - 2N
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\n" ); document.write( "\n" ); document.write( "Using units of cents we can write an equation based on the total VALUE of the coins:
\n" ); document.write( "25(14-2N) + 10N + 5N = 175\r
\n" ); document.write( "\n" ); document.write( "Solve this to find N=5 then 14-2N = Q = 4
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\n" ); document.write( "\n" ); document.write( "Ans:
\n" ); document.write( " 5 nickels
\n" ); document.write( " 5 dimes
\n" ); document.write( " 4 quarters
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\n" ); document.write( "\n" ); document.write( "Check:
\n" ); document.write( " 5*5 + 10*5 + 25*4 = 25 + 50 + 100 = 175\r
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